131044332321120 has 192 divisors, whose sum is σ = 413094970358784. Its totient is φ = 34919317923840.

The previous prime is 131044332321017. The next prime is 131044332321157. The reversal of 131044332321120 is 21123233440131.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 3869821309 + ... + 3869855171.

It is an arithmetic number, because the mean of its divisors is an integer number (2151536303952).

Almost surely, 2^{131044332321120} is an apocalyptic number.

131044332321120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131044332321120 is an abundant number, since it is smaller than the sum of its proper divisors (282050638037664).

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

131044332321120 is a wasteful number, since it uses less digits than its factorization.

131044332321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39605 (or 39597 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 131044332321120 its reverse (21123233440131), we get a palindrome (152167565761251).

The spelling of 131044332321120 in words is "one hundred thirty-one trillion, forty-four billion, three hundred thirty-two million, three hundred twenty-one thousand, one hundred twenty".