131332320072 has 24 divisors (see below), whose sum is σ = 355691700390. Its totient is φ = 43777440000.

The previous prime is 131332320071. The next prime is 131332320169. The reversal of 131332320072 is 270023233131.

131332320072 is a `hidden beast` number, since 1 + 3 + 1 + 332 + 320 + 0 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 130903581636 + 428738436 = 361806^2 + 20706^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (131332320071) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 912029929 + ... + 912030072.

Almost surely, 2^131332320072 is an apocalyptic number.

131332320072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131332320072 is an abundant number, since it is smaller than the sum of its proper divisors (224359380318).

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

131332320072 is a wasteful number, since it uses less digits than its factorization.

131332320072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824060013 (or 1824060006 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The spelling of 131332320072 in words is "one hundred thirty-one billion, three hundred thirty-two million, three hundred twenty thousand, seventy-two".