413340565043313 has 32 divisors (see below), whose sum is σ = 650967712963200. Its totient is φ = 258472474200000.

The previous prime is 413340565043291. The next prime is 413340565043383. The reversal of 413340565043313 is 313340565043314.

413340565043313 is a `hidden beast` number, since 4 + 1 + 3 + 3 + 40 + 565 + 0 + 4 + 33 + 13 = 666.

It is not a de Polignac number, because 413340565043313 - 2¹⁷ = 413340564912241 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (413340565043383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3988720938 + ... + 3988824563.

It is an arithmetic number, because the mean of its divisors is an integer number (20342741030100).

Almost surely, 2^{413340565043313} is an apocalyptic number.

It is an amenable number.

413340565043313 is a deficient number, since it is larger than the sum of its proper divisors (237627147919887).

413340565043313 is a wasteful number, since it uses less digits than its factorization.

413340565043313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7977545630 (or 7977545624 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 45.

Subtracting from 413340565043313 its reverse (313340565043314), we obtain a palindrome (99999999999999).

The spelling of 413340565043313 in words is "four hundred thirteen trillion, three hundred forty billion, five hundred sixty-five million, forty-three thousand, three hundred thirteen".