131913535824 has 320 divisors, whose sum is σ = 442513344000. Its totient is φ = 37608592896.

The previous prime is 131913535813. The next prime is 131913535849. The reversal of 131913535824 is 428535319131.

131913535824 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 13 + 53 + 582 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 131913535824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118095714 + ... + 118096830.

It is an arithmetic number, because the mean of its divisors is an integer number (1382854200).

Almost surely, 2^131913535824 is an apocalyptic number.

131913535824 is a gapful number since it is divisible by the number (14) 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 131913535824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221256672000).

131913535824 is an abundant number, since it is smaller than the sum of its proper divisors (310599808176).

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

131913535824 is a wasteful number, since it uses less digits than its factorization.

131913535824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952 (or 1926 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The spelling of 131913535824 in words is "one hundred thirty-one billion, nine hundred thirteen million, five hundred thirty-five thousand, eight hundred twenty-four".