131201142111144 has 192 divisors, whose sum is σ = 442453460342400. Its totient is φ = 35280979273728.

The previous prime is 131201142111077. The next prime is 131201142111167. The reversal of 131201142111144 is 441111241102131.

131201142111144 is a `hidden beast` number, since 1 + 3 + 120 + 1 + 1 + 421 + 1 + 114 + 4 = 666.

131201142111144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149689749 + ... + 150563684.

It is an arithmetic number, because the mean of its divisors is an integer number (2304445105950).

Almost surely, 2^{131201142111144} is an apocalyptic number.

131201142111144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131201142111144 is an abundant number, since it is smaller than the sum of its proper divisors (311252318231256).

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

131201142111144 is a wasteful number, since it uses less digits than its factorization.

131201142111144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300253489 (or 300253462 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

Adding to 131201142111144 its reverse (441111241102131), we get a palindrome (572312383213275).

The spelling of 131201142111144 in words is "one hundred thirty-one trillion, two hundred one billion, one hundred forty-two million, one hundred eleven thousand, one hundred forty-four".