13057413100205 has 12 divisors (see below), whose sum is σ = 16227833741652. Its totient is φ = 10085725977600.

The previous prime is 13057413100187. The next prime is 13057413100261. The reversal of 13057413100205 is 50200131475031.

It can be written as a sum of positive squares in 6 ways, for example, as 632161747396 + 12425251352809 = 795086^2 + 3524947^2 .

It is not a de Polignac number, because 13057413100205 - 2²⁶ = 13057345991341 is a prime.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

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, 1552601396 + ... + 1552609805.

It is an arithmetic number, because the mean of its divisors is an integer number (1352319478471).

Almost surely, 2^{13057413100205} is an apocalyptic number.

It is an amenable number.

13057413100205 is a deficient number, since it is larger than the sum of its proper divisors (3170420641447).

13057413100205 is an equidigital number, since it uses as much as digits as its factorization.

13057413100205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3105211264 (or 3105211235 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

Adding to 13057413100205 its reverse (50200131475031), we get a palindrome (63257544575236).

The spelling of 13057413100205 in words is "thirteen trillion, fifty-seven billion, four hundred thirteen million, one hundred thousand, two hundred five".