131081353920 has 336 divisors, whose sum is σ = 510073095168. Its totient is φ = 31777090560.

The previous prime is 131081353903. The next prime is 131081353937. The reversal of 131081353920 is 29353180131.

131081353920 is a `hidden beast` number, since 1 + 3 + 108 + 13 + 539 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (131081353903) and next prime (131081353937).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 778737 + ... + 931983.

It is an arithmetic number, because the mean of its divisors is an integer number (1518074688).

Almost surely, 2^131081353920 is an apocalyptic number.

131081353920 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 131081353920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255036547584).

131081353920 is an abundant number, since it is smaller than the sum of its proper divisors (378991741248).

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

131081353920 is a wasteful number, since it uses less digits than its factorization.

131081353920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153290 (or 153268 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 131081353920 in words is "one hundred thirty-one billion, eighty-one million, three hundred fifty-three thousand, nine hundred twenty".