131413341304400 has 120 divisors (see below), whose sum is σ = 332362205493120. Its totient is φ = 49795026462720.

The previous prime is 131413341304397. The next prime is 131413341304411. The reversal of 131413341304400 is 4403143314131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102364889 + ... + 103640711.

It is an arithmetic number, because the mean of its divisors is an integer number (2769685045776).

Almost surely, 2^{131413341304400} is an apocalyptic number.

131413341304400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131413341304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166181102746560).

131413341304400 is an abundant number, since it is smaller than the sum of its proper divisors (200948864188720).

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

131413341304400 is a wasteful number, since it uses less digits than its factorization.

131413341304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289413 (or 1289402 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 131413341304400 its reverse (4403143314131), we get a palindrome (135816484618531).

The spelling of 131413341304400 in words is "one hundred thirty-one trillion, four hundred thirteen billion, three hundred forty-one million, three hundred four thousand, four hundred".