131331120 has 80 divisors (see below), whose sum is σ = 431088480. Its totient is φ = 32960512.

The previous prime is 131331119. The next prime is 131331139. The reversal of 131331120 is 21133131.

It is a tau number, because it is divible by the number of its divisors (80).

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 131331120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12015 + ... + 20174.

It is an arithmetic number, because the mean of its divisors is an integer number (5388606).

Almost surely, 2^131331120 is an apocalyptic number.

131331120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131331120 is an abundant number, since it is smaller than the sum of its proper divisors (299757360).

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

131331120 is a wasteful number, since it uses less digits than its factorization.

131331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32222 (or 32216 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 131331120 is about 11459.9790575725. The cubic root of 131331120 is about 508.3028553497.

Adding to 131331120 its reverse (21133131), we get a palindrome (152464251).

The spelling of 131331120 in words is "one hundred thirty-one million, three hundred thirty-one thousand, one hundred twenty".