[Siegmund]

The other posters have answered the question "what are the odds of going 1325 hands without seeing AA?" -- which I don't think is the question you actually intended to ask.

I think what you were asking is, how long is it supposed to take before you see each of the 169 hands at least once each.

You have, in fact, gotten somewhat lucky. A quick simulation shows it takes an average of about 1640 tries to get all 169 possible hands. After 1325 tries, you can expect to have seen about 167.6 hands.

I seem to recall someone posting some Mathematica code a few weeks ago that gave an exact answer for how long it took to get all 169 hand types.