131087320960 has 256 divisors, whose sum is σ = 337343408640. Its totient is φ = 48535437312.

The previous prime is 131087320933. The next prime is 131087320961. The reversal of 131087320960 is 69023780131.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131087320961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235345002 + ... + 235345558.

It is an arithmetic number, because the mean of its divisors is an integer number (1317747690).

Almost surely, 2^131087320960 is an apocalyptic number.

131087320960 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 131087320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168671704320).

131087320960 is an abundant number, since it is smaller than the sum of its proper divisors (206256087680).

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

131087320960 is a wasteful number, since it uses less digits than its factorization.

131087320960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The spelling of 131087320960 in words is "one hundred thirty-one billion, eighty-seven million, three hundred twenty thousand, nine hundred sixty".