131114654112 has 192 divisors, whose sum is σ = 377345001600. Its totient is φ = 39618146304.

The previous prime is 131114654089. The next prime is 131114654173. The reversal of 131114654112 is 211456411131.

It is a self number, because there is not a number n which added to its sum of digits gives 131114654112.

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 31 ways as a sum of consecutive naturals, for example, 29179738 + ... + 29184230.

It is an arithmetic number, because the mean of its divisors is an integer number (1965338550).

Almost surely, 2^131114654112 is an apocalyptic number.

131114654112 is a gapful number since it is divisible by the number (12) 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 131114654112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188672500800).

131114654112 is an abundant number, since it is smaller than the sum of its proper divisors (246230347488).

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

131114654112 is a wasteful number, since it uses less digits than its factorization.

131114654112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4935 (or 4927 counting only the distinct ones).

The product of its digits is 2880, while the sum is 30.

The spelling of 131114654112 in words is "one hundred thirty-one billion, one hundred fourteen million, six hundred fifty-four thousand, one hundred twelve".