If you would believe most of them, which I don't, I would say he is after Wilt's record.
Wilt Chamberlain made his claim of having sex with thousands of women in response to Magic Johnson's claim of contracting HIV through heterosexual contact. His point was: If anyone was gonna get AIDS through heterosexual sex, it would be him. Yet, Wilt Chamberlain is not HIV positive.
Wilt's claim was made in the context of suggesting that Magic had been taking it up the rear.