131211113112 has 64 divisors (see below), whose sum is σ = 376232601600. Its totient is φ = 42326163360.

The previous prime is 131211113101. The next prime is 131211113113. The reversal of 131211113112 is 211311112131.

131211113112 is a `hidden beast` number, since 131 + 211 + 11 + 311 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131211113113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9791028 + ... + 9804419.

It is an arithmetic number, because the mean of its divisors is an integer number (5878634400).

Almost surely, 2^131211113112 is an apocalyptic number.

131211113112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131211113112 is an abundant number, since it is smaller than the sum of its proper divisors (245021488488).

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

131211113112 is a wasteful number, since it uses less digits than its factorization.

131211113112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19595493 (or 19595483 counting only the distinct ones).

The product of its digits is 36, while the sum is 18.

Adding to 131211113112 its reverse (211311112131), we get a palindrome (342522225243).

The spelling of 131211113112 in words is "one hundred thirty-one billion, two hundred eleven million, one hundred thirteen thousand, one hundred twelve".