131131251351120 has 160 divisors (see below), whose sum is σ = 409216584962304. Its totient is φ = 34735260672000.

The previous prime is 131131251351119. The next prime is 131131251351137. The reversal of 131131251351120 is 21153152131131.

It is a super-2 number, since 2×131131251351120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 1030348290 + ... + 1030475550.

Almost surely, 2^{131131251351120} is an apocalyptic number.

131131251351120 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 131131251351120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204608292481152).

131131251351120 is an abundant number, since it is smaller than the sum of its proper divisors (278085333611184).

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

131131251351120 is a wasteful number, since it uses less digits than its factorization.

131131251351120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155861 (or 155855 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 30.

The spelling of 131131251351120 in words is "one hundred thirty-one trillion, one hundred thirty-one billion, two hundred fifty-one million, three hundred fifty-one thousand, one hundred twenty".