131110189056 has 1152 divisors, whose sum is σ = 508209811200. Its totient is φ = 33009500160.

The previous prime is 131110189033. The next prime is 131110189057. The reversal of 131110189056 is 650981011131.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×131110189056² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 131110189056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131110189057) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1579640791 + ... + 1579640873.

It is an arithmetic number, because the mean of its divisors is an integer number (441154350).

Almost surely, 2^131110189056 is an apocalyptic number.

131110189056 is a gapful number since it is divisible by the number (16) 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 131110189056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254104905600).

131110189056 is an abundant number, since it is smaller than the sum of its proper divisors (377099622144).

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

131110189056 is a wasteful number, since it uses less digits than its factorization.

131110189056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 159 counting only the distinct ones).

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

The spelling of 131110189056 in words is "one hundred thirty-one billion, one hundred ten million, one hundred eighty-nine thousand, fifty-six".