131141340200400 has 120 divisors (see below), whose sum is σ = 420774729660960. Its totient is φ = 34913974878720.

The previous prime is 131141340200369. The next prime is 131141340200441. The reversal of 131141340200400 is 4002043141131.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×131141340200400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 88403430 + ... + 89874629.

It is an arithmetic number, because the mean of its divisors is an integer number (3506456080508).

Almost surely, 2^{131141340200400} is an apocalyptic number.

131141340200400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131141340200400 is an abundant number, since it is smaller than the sum of its proper divisors (289633389460560).

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

131141340200400 is a wasteful number, since it uses less digits than its factorization.

131141340200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178278693 (or 178278682 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 131141340200400 its reverse (4002043141131), we get a palindrome (135143383341531).

The spelling of 131141340200400 in words is "one hundred thirty-one trillion, one hundred forty-one billion, three hundred forty million, two hundred thousand, four hundred".