ah sadly not, the picture is
SA-500F - which was a dummy rocket used to test Kennedy Space Centre, Launch Complex 39 and the whole stacking to deployment process and to measure wind sheer at LC-39. The SA-500F was not capable of flight. It was dismantled, the idiots who did the CGI for Apollo XIII mistakenly used the SA-500F for the basis of the artwork which was wrong, SA-500F has a solid black band on its S-IC whereas flight ready S-IC's did not.
S-IC-F - stage one was scrapped
S-IIC-F - stage two was used in the SA-500D
S-IV-B-500F - stage three was used to help Skylab testing and scrapped some time shortly after 1986. The picture above is the SA-500F and that is the right
the restored "rocket" at MSFC/Davidson is
SA-500D

SA-500D never went to Kennedy or to LC-39 but it was used to test engine fire, vibrations and pressure testing. As noted above stage 2 from the F became stage two for D.
In January 1966, the all-systems test S-II-T was re-designated S-II-T/D, so that it might be used for dynamic testing as well as engine firing. S-II-T/D completed integrated checkout of ground support facilities at MTF on February 3, 1966. S-II-T/D's engines were fired five times at MTF from April to May, including a full-duration test. On May 28, 1966, S-II-T/D was undergoing a pressure test to find a hydrogen leak, but the hydrogen pressure sensors and switches had been disconnected without the second-shift crew knowing when they tried to pressurize the tank. Five technicians sustained minor injuries. MSFC convened an investigation that night, and the team completed the report in two days.
They tried to contain knowledge of the Saturn V rocket back then but when SA-500F rolled out of the VAB at 343 feet tall, it could be seen for miles! Visitors to KSC/Cape Canveral Air Force Station would be told not to look in the direction of LC-39!
Neil.