131331210101100 has 108 divisors (see below), whose sum is σ = 413180681462640. Its totient is φ = 34891463932800.

The previous prime is 131331210101099. The next prime is 131331210101111. The reversal of 131331210101100 is 1101012133131.

131331210101100 is a `hidden beast` number, since 1 + 3 + 1 + 331 + 210 + 10 + 110 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 270991296 + ... + 271475495.

It is an arithmetic number, because the mean of its divisors is an integer number (3825747050580).

Almost surely, 2^{131331210101100} is an apocalyptic number.

131331210101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131331210101100 is an abundant number, since it is smaller than the sum of its proper divisors (281849471361540).

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

131331210101100 is a wasteful number, since it uses less digits than its factorization.

131331210101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542467080 (or 542467070 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 131331210101100 its reverse (1101012133131), we get a palindrome (132432222234231).

The spelling of 131331210101100 in words is "one hundred thirty-one trillion, three hundred thirty-one billion, two hundred ten million, one hundred one thousand, one hundred".