Yeah I should point out that the way I've constructed the above hand leaves open the possibility for ties and redraws, which is probably the only distinction between my calculation and newfish's "pure 13 outs" numbers.

i.e. KK has redraws against our two-pair or set draws; he will make a better hand by drawing a K on the river even if we bink one of these 5 outs some small % of the time.