Well, everywhere I looked up, It says that the su 33 can carry the kh31A.
This is something I found;
Armament
Guns: 1 × 30 mm Gryazev-Shipunov GSh-30-1 autocannon with 150 rounds
Hardpoints: 12 × external hardpoints with a capacity of up to 6,500 kg (14,300 lb) of ordnance,with provisions to carry combinations of:
Rockets:
S-8KOM/BM/OM
S-13T/OF
S-25OFM-PU
Missiles:
Air-to-air missiles:
8 × R-27R/ER/T/ET
4 × R-73E
Anti-ship missiles:
Kh-31A
Kh-41
Anti-radiation missiles:
Kh-25MP
Kh-31P
Bombs:
RBK-500 cluster bomb
Up to 500 kg (1,100 lb) bombs
I cannot say that this is 100% correct.