There is a Star Trek The Next Generation episode where the Enterprise goes through a time loop many many times.

They try and send a message into the next loop, this manifested as the digit 3 all over the place..
On computer displays, on cards when playing poker etc.

It took them many attempts to actually get it to work.

So now I'm thinking 11:11 haha!!!

But that would assume WE have ability to send that number in time lol