131201142111200 has 144 divisors (see below), whose sum is σ = 373521619648800. Its totient is φ = 44983248629760.

The previous prime is 131201142111181. The next prime is 131201142111241. The reversal of 131201142111200 is 2111241102131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238794737 + ... + 239343536.

It is an arithmetic number, because the mean of its divisors is an integer number (2593900136450).

Almost surely, 2^{131201142111200} is an apocalyptic number.

131201142111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131201142111200 is an abundant number, since it is smaller than the sum of its proper divisors (242320477537600).

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

131201142111200 is an equidigital number, since it uses as much as digits as its factorization.

131201142111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478138314 (or 478138287 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 131201142111200 its reverse (2111241102131), we get a palindrome (133312383213331).

The spelling of 131201142111200 in words is "one hundred thirty-one trillion, two hundred one billion, one hundred forty-two million, one hundred eleven thousand, two hundred".