LE CAP D’AGDE, France — Andre Greipel of Germany led a photo-finish sprint to win the 13th stage of the Tour de France on Saturday, while Britain’s Bradley Wiggins retained the overall leader’s yellow jersey as the race headed south to the Mediterranean.

The windy and flat 134.8-mile run, with one major climb from Saint-Paul-Trois-Chateaux to Le Cap d’Agde, was tailored for a win by one of the race’s sprinters.

Greipel’s ability to get over the super-steep Mont Saint-Clair climb, in the picturesque port town of Sete about 14 miles from the finish, helped pave the way for his victory. Several other top sprinters — such as Britain’s Mark Cavendish — struggled up the hill and fell back.

Greipel, who turns 30 Monday, earned his third stage victory of this year’s Tour after winning the fourth and fifth stages in sprint finishes. Still-photo imagery showed he won by half a wheel’s length ahead of Slovakian rider Peter Sagan. Edvald Boasson Hagen of Norway was third.

Wiggins trailed close behind in the main pack. Overall, he leads his second-place Sky teammate and fellow Briton Christopher Froome by 2 minutes, 5 seconds. Vincenzo Nibali of Italy is third, 2:23 back, and defending champion Cadel Evans of Australia is 3:19 off the pace in fourth.

‘‘I’m really happy with this victory . . . it was once again a team effort,’’ said Greipel, who has four career Tour stage wins. ‘‘The sprint was very long. I was just on the wheel of Boasson Hagen, and I saw that I could win if I just gave a little extra at the end.’’

Wiggins said he led the late surge because he wanted to stay in front and out of possible trouble in a big final bend in the road. He also wanted to help Boasson Hagen to return a favor for his support in the Alps.

‘‘Once we knew that Cavendish wasn’t going to come back, everybody said we’d try to do the job for Edvald,’’ Wiggins said. ‘‘Sometimes it’s just good to get on the front and try to repay a friend of mine back.’’