131012313131100 has 72 divisors (see below), whose sum is σ = 379519545843760. Its totient is φ = 34894473684480.

The previous prime is 131012313131057. The next prime is 131012313131101. The reversal of 131012313131100 is 1131313210131.

It is a super-2 number, since 2×131012313131100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131012313131101) 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, 263145577 + ... + 263642976.

Almost surely, 2^{131012313131100} is an apocalyptic number.

131012313131100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131012313131100 is an abundant number, since it is smaller than the sum of its proper divisors (248507232712660).

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

131012313131100 is a wasteful number, since it uses less digits than its factorization.

131012313131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526789399 (or 526789392 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 131012313131100 its reverse (1131313210131), we get a palindrome (132143626341231).

The spelling of 131012313131100 in words is "one hundred thirty-one trillion, twelve billion, three hundred thirteen million, one hundred thirty-one thousand, one hundred".