Those "13" national championships are a joke. One of those was 1941, when Bama finished 3rd in their own conference, and lost to us (Mississippi State) and Vandy. They finished 20th in the AP poll.
Precisely why I'm opposed to any kind of playoff more than what we already have; a "championship" game between #7 and #8 will never be as anticipated or as validated as a game between #1 and #2, and the current system gives us that.
A while back, one of the MSU message boards started joking about that, since we beat them that year. They had some shirts printed up that declared MSU the national champs in 1941, since we had a better record and had beaten the so-called national champs head to head.
Oh brother, sounds like some other schools I know of.