131413249841400 has 144 divisors (see below), whose sum is σ = 441337762742760. Its totient is φ = 35042876985600.

The previous prime is 131413249841399. The next prime is 131413249841411. The reversal of 131413249841400 is 4148942314131.

131413249841400 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 13 + 2 + 498 + 4 + 140 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 99533979 + ... + 100845621.

Almost surely, 2^{131413249841400} is an apocalyptic number.

131413249841400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131413249841400 is an abundant number, since it is smaller than the sum of its proper divisors (309924512901360).

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

131413249841400 is a wasteful number, since it uses less digits than its factorization.

131413249841400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367326 (or 1367314 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 131413249841400 in words is "one hundred thirty-one trillion, four hundred thirteen billion, two hundred forty-nine million, eight hundred forty-one thousand, four hundred".