There were no spacecraft named Apollo 2 or 3
Sometimes one of the unmanned test missions is erroneously called Apollo 3. This was the AS202 mission which tested the command and service modules in suborbital flight. This was launched on August 26th 1966.
The launch date for the Apollo 13 mission was April 11th 1970 at 13:13 eastern time.
The rocket to launch Apollo 13 was the Saturn 5 rocket.
"Apollo 13 was the seventh manned mission in the American Apollo space program and the third intended to land on the Moon. The craft was launched on April 11, 1970, at 13:13 CST" -- Wikipedia
Apollo 1 was supposed to launch on February 21, 1967.
Apollo 13 launched April 13, >1952<1999
Launch: April 11, 1970 Splashdown: April 17, 1970
Launch: April 11, 1970 Splashdown: April 17, 1970
Apollo 1 did not launch. It caught fire during a training routine weeks before the scheduled launch date.
on January 27, 1967
Apollo 13 did not crash.
Apollo 13 launched on April 11, 1970, 19:13:00 UTC
It was launched from the launch vehicle at Cape Kennedy.