131056770432 has 384 divisors, whose sum is σ = 411463756800. Its totient is φ = 36849254400.

The previous prime is 131056770371. The next prime is 131056770433. The reversal of 131056770432 is 234077650131.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131056770433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 548354569 + ... + 548354807.

It is an arithmetic number, because the mean of its divisors is an integer number (1071520200).

Almost surely, 2^131056770432 is an apocalyptic number.

131056770432 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 131056770432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205731878400).

131056770432 is an abundant number, since it is smaller than the sum of its proper divisors (280406986368).

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

131056770432 is a wasteful number, since it uses less digits than its factorization.

131056770432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The spelling of 131056770432 in words is "one hundred thirty-one billion, fifty-six million, seven hundred seventy thousand, four hundred thirty-two".