Sum of the digits at odd places$$=3+1+0=4$$
Sum of the digits at even places$$=5+1+9=15$$
Difference$$=15-4=11$$
The difference between the sum of the digits at odd places and the sum of the digits at even places is $$11$$, which is divisible by $$11$$. Therefore, $$901153$$ is divisible by $$11$$.