113534525400413 has 32 divisors (see below), whose sum is σ = 127190058559200. Its totient is φ = 100622554905600.

The previous prime is 113534525400409. The next prime is 113534525400479. The reversal of 113534525400413 is 314004525435311.

It can be written as a sum of positive squares in 16 ways, for example, as 106559105626009 + 6975419774404 = 10322747^2 + 2641102^2 .

It is not a de Polignac number, because 113534525400413 - 2² = 113534525400409 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113534525402413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1623255023 + ... + 1623324963.

It is an arithmetic number, because the mean of its divisors is an integer number (3974689329975).

Almost surely, 2^{113534525400413} is an apocalyptic number.

113534525400413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

113534525400413 is a deficient number, since it is larger than the sum of its proper divisors (13655533158787).

113534525400413 is a wasteful number, since it uses less digits than its factorization.

113534525400413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93953.

The product of its (nonzero) digits is 432000, while the sum is 41.

The spelling of 113534525400413 in words is "one hundred thirteen trillion, five hundred thirty-four billion, five hundred twenty-five million, four hundred thousand, four hundred thirteen".