131402314102400 has 96 divisors (see below), whose sum is σ = 354114304519680. Its totient is φ = 47782659660800.

The previous prime is 131402314102391. The next prime is 131402314102481. The reversal of 131402314102400 is 4201413204131.

It is a self number, because there is not a number n which added to its sum of digits gives 131402314102400.

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, 1866474944 + ... + 1866545343.

It is an arithmetic number, because the mean of its divisors is an integer number (3688690672080).

Almost surely, 2^{131402314102400} is an apocalyptic number.

131402314102400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131402314102400 is an abundant number, since it is smaller than the sum of its proper divisors (222711990417280).

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

131402314102400 is a wasteful number, since it uses less digits than its factorization.

131402314102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3733020322 (or 3733020305 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 131402314102400 its reverse (4201413204131), we get a palindrome (135603727306531).

The spelling of 131402314102400 in words is "one hundred thirty-one trillion, four hundred two billion, three hundred fourteen million, one hundred two thousand, four hundred".