Vault 13
Vault 13 is one of the major fallout vaults developed by Vault-Tec. It is the Vault Dweller's home from Fallout 1. It is probably located right under Mount Whitney, as it matches quite exactly the mount's location.
History
The vault's construction started in August 2063 and ended in march 2069. Meant to stay closed for ten years, the vault was also containing 1000 inhabitants, protecting them from radiations and from the Great War. However, as a study about prolonged isolation, the Vault remained sealed for 200 years, which would eventually lead to problems with its Water Chip.
In FOnline: 2238
You cannot go inside this particular Vault in FOnline: 2238, because the vault isn't visible on the global map. Even if you found the location somehow, you would be restricted to the outside cave, because the giant Vault 13 door is sealed. The game happening in the year 2238, the Vault's door remains closed after Vault Dweller being expelled. No one can open the door, as vault's entrances are made to prevent anyone from passing through them.