131010056111100 has 72 divisors (see below), whose sum is σ = 379069514748288. Its totient is φ = 34934747460800.

The previous prime is 131010056111057. The next prime is 131010056111101. The reversal of 131010056111100 is 1111650010131.

It is a super-3 number, since 3×131010056111100³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131010056111101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 375217 + ... + 16191383.

It is an arithmetic number, because the mean of its divisors is an integer number (5264854371504).

Almost surely, 2^{131010056111100} is an apocalyptic number.

131010056111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131010056111100 is an abundant number, since it is smaller than the sum of its proper divisors (248059458637188).

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

131010056111100 is a wasteful number, since it uses less digits than its factorization.

131010056111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15843795 (or 15843788 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 21.

The spelling of 131010056111100 in words is "one hundred thirty-one trillion, ten billion, fifty-six million, one hundred eleven thousand, one hundred".