Paris - Serena Williams knew, of course, that 11 years had passed since her only French Open championship.

She also knew, of course, what happened a year ago in Paris: the only first-round Grand Slam loss of her career, to a woman ranked outside the top 100, no less.

Eager to repeat the elation of 2002, and motivated by the disappointment of 2012, Williams used terrific defense and her usual powerful hitting in Saturday's final, closing with a crescendo of aces - three in the last game - for a 6-4, 6-4 victory over defending champion Maria Sharapova to collect a second Roland Garros title and 16th major trophy overall.

"I'm still a little bit upset about that loss last year," the No. 1-ranked Williams said with a chuckle, her shiny new hardware an arm's length away.

"But it's all about, for me, how you recover," she continued. "I think I've always said a champion isn't about how much they win, but it's about how they recover from their downs, whether it's an injury or whether it's a loss."

As she spoke those last few words, her voice choked and her eyes welled with tears. There have been low moments for the 31-year-old American - none worse, perhaps, than a 10-month stretch ending in 2011 that included two foot operations and treatment for blood clots in her lungs - but she's enjoying a high point right now.

Saturday's victory was her 31st in a row, the longest single-season streak in 13 years. Williams is 43-2 with six titles this season.

"She is playing extremely well," Sharapova said. "She's a competitor."

Sharapova is known for her grit on a court, too. She entered Saturday ranked No. 2, the winner of her last 13 French Open matches, and the only active woman other than the Williams sisters with more than two Grand Slam titles. But she doesn't seem to stand a chance against Serena, who has won their last 13 encounters.

This was the first major final between women ranked 1-2 in more than nine years - the first at Roland Garros in 18 - and yet it really was not all that close.

Sharapova began well enough, saving four break points in the first game, then breaking in the second, prompting plenty of murmuring in the stands.

The next game went to 40-15 on Sharapova's serve, one point from a 3-0 lead. That's when Williams got going. A 13-stroke exchange culminated with a forehand that forced Sharapova's backhand error and started a four-point, break-earning run for Williams. She got to 2-1 with an overhead smash she punctuated with a staredown, a raised left fist and a loud "Come on!"

That fist was aloft again a half-hour later, when Williams' cross-court forehand winner helped her break to lead 5-4, and she served out the set.

Sharapova saved five break points in the second set's opening game, but that merely delayed what everyone expected. Williams got the last break she would need two games later. Sharapova struck a forehand down the line that would have ended the point against most opponents, but Williams got the ball back, and with an extra shot necessary, the Russian slapped a forehand into the net.

On break point, Sharapova smacked a 109 mph serve, but Williams' strong return forced another mistake. Williams merely needed to hold serve, and half of her 10 aces came in her last two service games.

Williams is the oldest woman to win the French Open in at least 45 years, and the oldest at any Grand Slam since Martina Navratilova was 33 at Wimbledon in 1990.

"I really believe age is a number at this point, because I have never felt so fit. I feel great. I look great," she said, laughing at her own joke. "If I see someone that's 31, I'm like, "You're old.' Then I'm like, "I'm 31.' But I don't feel it at all."

If she keeps playing like this - if she maintains her focus and, most importantly, stays healthy - the real challenge is how she will stack up with past greats of the game.

"I feel like I definitely want to continue my journey," Williams said. "If it means I stop at 16 or if it means I have more, I definitely want to continue my journey to get a few more."

She's won the sixth-most major titles in the history of tennis, which dates to the 1880s. Add two more, and she'll equal Martina Navratilova and Chris Evert with 18.

The only women with more are Margaret Smith Court (24), Steffi Graf (22) and Helen Wills Moody (19).