7138965:−
Sum of the given digits at odd places = 5+9+3+7=24
Sum of the given digits at even place= 6+8+1=15.
Difference= 24−15=9
The difference between the sum of the digits at odd places and sum of the digits at even place is 9.Which is not divisible by 11.
∴7138965 is not divisible by 11.