I tend to notice 1:11 and 3:33 on the clock a bit more. Not sure why 1:11 sticks out, 3:33 does because i was born on march 3rd - third day of the third month - at 3:33 AM or at least that is when the Dr. wrote down when i was born. I think i notice 3:33 more often because i associate it with my time of birth.

The inner clock thing, i've noticed it too. I will often wake up around 5 minutes before my alarm goes off. If i need to wake up earlier for something special, like a flight, i will also get up about 5 minutes before the alarm. Definitely something worth looking into there. Maybe it has to do with circadian rhythms, certainly seems there is some kind of internal clock present. REM cycles keep track of when we are asleep and for how long, maybe something related to that. If you are able to navigate the dream space well perhaps you are more prone to these type of things happening.