>>10984046Its express purpose was to put men on the moon, OP. That task fulfilled, and very expensively as the FPBP indicated, the remaining hardware was placed in museums. Everything that followed (Skylab, Apollo-Soyuz) were just bonus playable content/bonus missions using the available hardware/sprites. Also, more than 13 were built (or else we wouldn't have any sitting in museums), you're thinking only of the missions to which men were committed, on which the rocket was actually used. But that's a sensible thing to focus on.
Interestingly, the Saturn V and the Saturn IB, taken together, account for all the launches of the Apollo spacecraft, all of the "serious" hardware. They were preceded by the Saturn I, which just flew boilerplate stuff and some proof-of-concept satellites (which I therefore do not treat here). Pic related shows the situation, in order. In a more definite sense, then, the Apollo program can be construed as consisting of 22 or 23 missions - these are coterminous with the actual usages of the Saturn V and the Saturn IB (and the Apollo 1 disaster, which although never launched must be included for basic historical completeness).
Notice that there are really three eras: the early tests (Apollo 1 occurred around here, slowing things down), the "proper" Apollo missions beginning with 7 and ending with 17, and the "bonus content" I spoke of earlier. Once they'd put Skylab itself up, the Saturn V was done-everything else they wished to spend on was do-able with the Saturn IB, which returned to action.
In all, the Saturn IB was launched nine times, and the Saturn V, thirteen times. They carried nineteen CSMs and ten LMs into space. Fifteen three-man crews flew, with several men flying twice (interestingly, both Conrad and Bean, Apollo 12 pals, commanded separate Skylab missions).