You are posting in the Gen 4 section (just saying since your info shows a 2013). And the Odometer is a function of the ECU not a separate entity.
Specifically, I think the odometer value is retained in the combination meter assembly. You could check the wiring diagram for which fuses supply that. Toyota Service Information and Where To Find It | PriusChat (If I remember right, in at least one generation, it's got a kind of interesting arrangement where two different fused circuits feed it, and it contains a diode so one can't backfeed the other.)
Yes, im aware. I have two priuses actually. I am not sure if gen 4 is the same as the gen 3 when it comes to the instrument panel wiring. I am going to take a guess and say the odometer fuse is also the same fuse connected to the rest of the panel.