There are two kinds of roulette wheels; European, and American. The main difference between the two wheels is the 0 and 00 pockets, european roulette wheels have only a 0, and american wheels have a 0 and 00.
The order of numbers in both wheel layouts is completely random except for the fact that red and black numbers alternate.
European roulette wheel layout:
This picture shows the order of numbers on a european roulette wheel, the order of numbers is as follows and is the same on all euro roulette wheels;