131122310112 has 72 divisors (see below), whose sum is σ = 386689428216. Its totient is φ = 43707434112.

The previous prime is 131122310093. The next prime is 131122310129. The reversal of 131122310112 is 211013221131.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8423443 + ... + 8438994.

It is an arithmetic number, because the mean of its divisors is an integer number (5370686503).

Almost surely, 2^131122310112 is an apocalyptic number.

131122310112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131122310112 is an abundant number, since it is smaller than the sum of its proper divisors (255567118104).

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

131122310112 is an equidigital number, since it uses as much as digits as its factorization.

131122310112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16862462 (or 16862442 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 131122310112 its reverse (211013221131), we get a palindrome (342135531243).

The spelling of 131122310112 in words is "one hundred thirty-one billion, one hundred twenty-two million, three hundred ten thousand, one hundred twelve".