11531013120 has 352 divisors, whose sum is σ = 44710410240. Its totient is φ = 2795028480.

The previous prime is 11531013107. The next prime is 11531013167. The reversal of 11531013120 is 2131013511.

11531013120 is a `hidden beast` number, since 1 + 1 + 531 + 0 + 13 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×11531013120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11531013093 and 11531013102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1516849 + ... + 1524431.

Almost surely, 2^11531013120 is an apocalyptic number.

11531013120 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 11531013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22355205120).

11531013120 is an abundant number, since it is smaller than the sum of its proper divisors (33179397120).

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

11531013120 is a wasteful number, since it uses less digits than its factorization.

11531013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7628 (or 7604 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 11531013120 its reverse (2131013511), we get a palindrome (13662026631).

The spelling of 11531013120 in words is "eleven billion, five hundred thirty-one million, thirteen thousand, one hundred twenty".