131013313424400 has 180 divisors, whose sum is σ = 461300403506096. Its totient is φ = 31760803219200.

The previous prime is 131013313424387. The next prime is 131013313424417. The reversal of 131013313424400 is 4424313310131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 451002574 + ... + 451292973.

Almost surely, 2^{131013313424400} is an apocalyptic number.

131013313424400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131013313424400 is an abundant number, since it is smaller than the sum of its proper divisors (330287090081696).

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

131013313424400 is a wasteful number, since it uses less digits than its factorization.

131013313424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902295590 (or 902295568 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 131013313424400 its reverse (4424313310131), we get a palindrome (135437626734531).

The spelling of 131013313424400 in words is "one hundred thirty-one trillion, thirteen billion, three hundred thirteen million, four hundred twenty-four thousand, four hundred".