131031022304096 has 48 divisors (see below), whose sum is σ = 263660270369328. Its totient is φ = 64085314368000.

The previous prime is 131031022304093. The next prime is 131031022304099. The reversal of 131031022304096 is 690403220130131.

It is an interprime number because it is at equal distance from previous prime (131031022304093) and next prime (131031022304099).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131031022304093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243959315 + ... + 244495826.

It is an arithmetic number, because the mean of its divisors is an integer number (5492922299361).

Almost surely, 2^{131031022304096} is an apocalyptic number.

131031022304096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131031022304096 is an abundant number, since it is smaller than the sum of its proper divisors (132629248065232).

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

131031022304096 is a wasteful number, since it uses less digits than its factorization.

131031022304096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488455335 (or 488455327 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The spelling of 131031022304096 in words is "one hundred thirty-one trillion, thirty-one billion, twenty-two million, three hundred four thousand, ninety-six".