131304115680 has 192 divisors, whose sum is σ = 417130560000. Its totient is φ = 34717132800.

The previous prime is 131304115667. The next prime is 131304115693. The reversal of 131304115680 is 86511403131.

131304115680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (131304115667) and next prime (131304115693).

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 31 ways as a sum of consecutive naturals, for example, 47762946 + ... + 47765694.

It is an arithmetic number, because the mean of its divisors is an integer number (2172555000).

Almost surely, 2^131304115680 is an apocalyptic number.

131304115680 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 131304115680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208565280000).

131304115680 is an abundant number, since it is smaller than the sum of its proper divisors (285826444320).

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

131304115680 is a wasteful number, since it uses less digits than its factorization.

131304115680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3577 (or 3569 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 131304115680 in words is "one hundred thirty-one billion, three hundred four million, one hundred fifteen thousand, six hundred eighty".