131309418072 has 384 divisors, whose sum is σ = 415378368000. Its totient is φ = 33836974080.

The previous prime is 131309418011. The next prime is 131309418139. The reversal of 131309418072 is 270814903131.

It is a self number, because there is not a number n which added to its sum of digits gives 131309418072.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 252033172 + ... + 252033692.

It is an arithmetic number, because the mean of its divisors is an integer number (1081714500).

Almost surely, 2^131309418072 is an apocalyptic number.

131309418072 is a gapful number since it is divisible by the number (12) 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 131309418072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207689184000).

131309418072 is an abundant number, since it is smaller than the sum of its proper divisors (284068949928).

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

131309418072 is a wasteful number, since it uses less digits than its factorization.

131309418072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 131309418072 in words is "one hundred thirty-one billion, three hundred nine million, four hundred eighteen thousand, seventy-two".