131057756310264 has 128 divisors (see below), whose sum is σ = 387409454208000. Its totient is φ = 36149511896064.

The previous prime is 131057756310227. The next prime is 131057756310277. The reversal of 131057756310264 is 462013657750131.

It is a super-2 number, since 2×131057756310264² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38964037 + ... + 42193739.

It is an arithmetic number, because the mean of its divisors is an integer number (3026636361000).

Almost surely, 2^{131057756310264} is an apocalyptic number.

131057756310264 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 131057756310264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193704727104000).

131057756310264 is an abundant number, since it is smaller than the sum of its proper divisors (256351697897736).

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

131057756310264 is a wasteful number, since it uses less digits than its factorization.

131057756310264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3238077 (or 3238073 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 51.

The spelling of 131057756310264 in words is "one hundred thirty-one trillion, fifty-seven billion, seven hundred fifty-six million, three hundred ten thousand, two hundred sixty-four".