131141324310400 has 96 divisors (see below), whose sum is σ = 323966582311680. Its totient is φ = 52455472435200.

The previous prime is 131141324310343. The next prime is 131141324310457. The reversal of 131141324310400 is 4013423141131.

131141324310400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (131141324310343) and next prime (131141324310457).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169267905 + ... + 170040895.

It is an arithmetic number, because the mean of its divisors is an integer number (3374651899080).

Almost surely, 2^{131141324310400} is an apocalyptic number.

131141324310400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131141324310400 is an abundant number, since it is smaller than the sum of its proper divisors (192825258001280).

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

131141324310400 is an equidigital number, since it uses as much as digits as its factorization.

131141324310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826032 (or 826015 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 131141324310400 its reverse (4013423141131), we get a palindrome (135154747451531).

The spelling of 131141324310400 in words is "one hundred thirty-one trillion, one hundred forty-one billion, three hundred twenty-four million, three hundred ten thousand, four hundred".