131012111331100 has 72 divisors (see below), whose sum is σ = 284829871284000. Its totient is φ = 52306540619520.

The previous prime is 131012111331083. The next prime is 131012111331107. The reversal of 131012111331100 is 1133111210131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131012111331107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196160526 + ... + 196827274.

It is an arithmetic number, because the mean of its divisors is an integer number (3955970434500).

Almost surely, 2^{131012111331100} is an apocalyptic number.

131012111331100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131012111331100 is an abundant number, since it is smaller than the sum of its proper divisors (153817759952900).

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

131012111331100 is a wasteful number, since it uses less digits than its factorization.

131012111331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670447 (or 670440 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 19.

Adding to 131012111331100 its reverse (1133111210131), we get a palindrome (132145222541231).

The spelling of 131012111331100 in words is "one hundred thirty-one trillion, twelve billion, one hundred eleven million, three hundred thirty-one thousand, one hundred".