131566381056 has 384 divisors, whose sum is σ = 428091955200. Its totient is φ = 39594147840.

The previous prime is 131566381031. The next prime is 131566381057. The reversal of 131566381056 is 650183665131.

131566381056 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 6 + 638 + 1 + 0 + 5 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (131566381057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99145065 + ... + 99146391.

It is an arithmetic number, because the mean of its divisors is an integer number (1114822800).

Almost surely, 2^131566381056 is an apocalyptic number.

131566381056 is a gapful number since it is divisible by the number (16) 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 131566381056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214045977600).

131566381056 is an abundant number, since it is smaller than the sum of its proper divisors (296525574144).

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

131566381056 is a wasteful number, since it uses less digits than its factorization.

131566381056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1506 counting only the distinct ones).

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

The spelling of 131566381056 in words is "one hundred thirty-one billion, five hundred sixty-six million, three hundred eighty-one thousand, fifty-six".