11032131120 has 240 divisors, whose sum is σ = 36319675392. Its totient is φ = 2769707520.

The previous prime is 11032131119. The next prime is 11032131157. The reversal of 11032131120 is 2113123011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 11032131120.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19320435 + ... + 19321005.

Almost surely, 2^11032131120 is an apocalyptic number.

11032131120 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 11032131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18159837696).

11032131120 is an abundant number, since it is smaller than the sum of its proper divisors (25287544272).

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

11032131120 is a wasteful number, since it uses less digits than its factorization.

11032131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11032131120 its reverse (2113123011), we get a palindrome (13145254131).

The spelling of 11032131120 in words is "eleven billion, thirty-two million, one hundred thirty-one thousand, one hundred twenty".