131100001313112 has 96 divisors (see below), whose sum is σ = 382379708627280. Its totient is φ = 40337965612800.

The previous prime is 131100001313111. The next prime is 131100001313129. The reversal of 131100001313112 is 211313100001131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131100001313111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79224987 + ... + 80862837.

Almost surely, 2^{131100001313112} is an apocalyptic number.

131100001313112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131100001313112 is an abundant number, since it is smaller than the sum of its proper divisors (251279707314168).

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

131100001313112 is a wasteful number, since it uses less digits than its factorization.

131100001313112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723393 (or 1723386 counting only the distinct ones).

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

Adding to 131100001313112 its reverse (211313100001131), we get a palindrome (342413101314243).

The spelling of 131100001313112 in words is "one hundred thirty-one trillion, one hundred billion, one million, three hundred thirteen thousand, one hundred twelve".