131311313112 has 64 divisors (see below), whose sum is σ = 375520849920. Its totient is φ = 37482951168.

The previous prime is 131311313083. The next prime is 131311313137. The reversal of 131311313112 is 211313113131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176913 + ... + 542144.

It is an arithmetic number, because the mean of its divisors is an integer number (5867513280).

Almost surely, 2^131311313112 is an apocalyptic number.

131311313112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131311313112 is an abundant number, since it is smaller than the sum of its proper divisors (244209536808).

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

131311313112 is a wasteful number, since it uses less digits than its factorization.

131311313112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720160 (or 720156 counting only the distinct ones).

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

Adding to 131311313112 its reverse (211313113131), we get a palindrome (342624426243).

The spelling of 131311313112 in words is "one hundred thirty-one billion, three hundred eleven million, three hundred thirteen thousand, one hundred twelve".