131331144 has 32 divisors (see below), whose sum is σ = 375232320. Its totient is φ = 37523136.

The previous prime is 131331139. The next prime is 131331181. The reversal of 131331144 is 441133131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 131331144.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 390699 + ... + 391034.

It is an arithmetic number, because the mean of its divisors is an integer number (11726010).

Almost surely, 2^131331144 is an apocalyptic number.

131331144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131331144 is an abundant number, since it is smaller than the sum of its proper divisors (243901176).

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

131331144 is a wasteful number, since it uses less digits than its factorization.

131331144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781749 (or 781745 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 131331144 is about 11459.9801046948. The cubic root of 131331144 is about 508.3028863128.

Adding to 131331144 its reverse (441133131), we get a palindrome (572464275).

The spelling of 131331144 in words is "one hundred thirty-one million, three hundred thirty-one thousand, one hundred forty-four".