131201142111180 has 144 divisors (see below), whose sum is σ = 406453182879744. Its totient is φ = 34241826729600.

The previous prime is 131201142111167. The next prime is 131201142111181. The reversal of 131201142111180 is 81111241102131.

131201142111180 is a `hidden beast` number, since 1 + 3 + 120 + 1 + 1 + 421 + 1 + 118 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (131201142111181) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 468129369 + ... + 468409551.

It is an arithmetic number, because the mean of its divisors is an integer number (2822591547776).

Almost surely, 2^{131201142111180} is an apocalyptic number.

131201142111180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131201142111180 is an abundant number, since it is smaller than the sum of its proper divisors (275252040768564).

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

131201142111180 is a wasteful number, since it uses less digits than its factorization.

131201142111180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335596 (or 335591 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 27.

The spelling of 131201142111180 in words is "one hundred thirty-one trillion, two hundred one billion, one hundred forty-two million, one hundred eleven thousand, one hundred eighty".