11113131120 has 320 divisors, whose sum is σ = 42630604800. Its totient is φ = 2332053504.

The previous prime is 11113131119. The next prime is 11113131163. The reversal of 11113131120 is 2113131111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11113131120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4344882 + ... + 4347438.

It is an arithmetic number, because the mean of its divisors is an integer number (133220640).

Almost surely, 2^11113131120 is an apocalyptic number.

11113131120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11113131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21315302400).

11113131120 is an abundant number, since it is smaller than the sum of its proper divisors (31517473680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11113131120 is a wasteful number, since it uses less digits than its factorization.

11113131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2792 (or 2786 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 11113131120 its reverse (2113131111), we get a palindrome (13226262231).

Subtracting from 11113131120 its reverse (2113131111), we obtain a palindrome (9000000009).

The spelling of 11113131120 in words is "eleven billion, one hundred thirteen million, one hundred thirty-one thousand, one hundred twenty".