In [Co(NH3)6]3+ the oxidation state of cobalt is +3.Ammonia is a strong field ligand so it pair up 4 unpaired electron and free up 2 3−d orbitals. These 3−d orbitals are involved in hybridisation with one 4S and three 4P orbitals forming an inner orbital complex, so hybridisation of [Co(NH3)6]3+ is d2sp3
Since it has no unpaired electrons, [Co(NH3)6]3+ is diamagnetic.