131311149115104 has 384 divisors, whose sum is σ = 446699111040000. Its totient is φ = 37512217193472.

The previous prime is 131311149115051. The next prime is 131311149115109. The reversal of 131311149115104 is 401511941113131.

131311149115104 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 1 + 11 + 491 + 151 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131311149115109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2439839107 + ... + 2439892925.

It is an arithmetic number, because the mean of its divisors is an integer number (1163278935000).

Almost surely, 2^{131311149115104} is an apocalyptic number.

131311149115104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131311149115104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223349555520000).

131311149115104 is an abundant number, since it is smaller than the sum of its proper divisors (315387961924896).

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

131311149115104 is an equidigital number, since it uses as much as digits as its factorization.

131311149115104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62092 (or 62064 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 36.

The spelling of 131311149115104 in words is "one hundred thirty-one trillion, three hundred eleven billion, one hundred forty-nine million, one hundred fifteen thousand, one hundred four".