Okay, so the writers didn't actually intend for this, but it's a fun bit of continuity thanks to how the finale turned out. In "A Big Piece of Garbage", there is the pre-credits gag of Fry sticking his finger into the Professor's Death Clock. The readout is never revealed, but the joke is that the clock states that Fry will die very soon. Now, in "Meanwhile", both Fry and Leela are trapped in time until their old age. Seeing as how the Professor can only reset the 10 second time machine and cannot start time up again from the point it was frozen, technically both Fry and Leela die in 3013.
So, going back to the Death Clock, the readout could have stated 3013 which fits with the clock being accurate in Fry's death date and fits with the finale. I found it interesting that when the scene in "A Big Piece of Garbage" begins, it almost looks like Leela is going to test the machine given only her and the professor are in the frame and the machine is facing her. However, Fry comes in and pulls the machine away. If you apply the events of "Meanwhile" to the Death Clock gag, Leela would have also shown 3013 as her death date, but Fry saved her from seeing her own date.
Again, this is just a fun bit of unintended continuity. I'm not stating that a season 1 episode intentionally set up the finale.
Unrelated to the above, I also noted that Fry freezing time saved the Earth from Bender's robot uprising in "Decision 3012", assuming that since Nixon won the uprising would begin sometime after 3013.