131263816320 has 768 divisors, whose sum is σ = 590727271680. Its totient is φ = 26064322560.

The previous prime is 131263816319. The next prime is 131263816391. The reversal of 131263816320 is 23618362131.

131263816320 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 638 + 16 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8903355 + ... + 8918085.

It is an arithmetic number, because the mean of its divisors is an integer number (769176135).

Almost surely, 2^131263816320 is an apocalyptic number.

131263816320 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 131263816320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295363635840).

131263816320 is an abundant number, since it is smaller than the sum of its proper divisors (459463455360).

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

131263816320 is a wasteful number, since it uses less digits than its factorization.

131263816320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14793 (or 14778 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 131263816320 in words is "one hundred thirty-one billion, two hundred sixty-three million, eight hundred sixteen thousand, three hundred twenty".