131201142010400 has 144 divisors (see below), whose sum is σ = 399328566960960. Its totient is φ = 40893862425600.

The previous prime is 131201142010369. The next prime is 131201142010469. The reversal of 131201142010400 is 4010241102131.

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

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, 1064882735 + ... + 1065005934.

It is an arithmetic number, because the mean of its divisors is an integer number (2773115048340).

Almost surely, 2^{131201142010400} is an apocalyptic number.

131201142010400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131201142010400 is an abundant number, since it is smaller than the sum of its proper divisors (268127424950560).

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

131201142010400 is a wasteful number, since it uses less digits than its factorization.

131201142010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2129888707 (or 2129888694 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 131201142010400 its reverse (4010241102131), we get a palindrome (135211383112531).

The spelling of 131201142010400 in words is "one hundred thirty-one trillion, two hundred one billion, one hundred forty-two million, ten thousand, four hundred".