413300023040013 has 16 divisors (see below), whose sum is σ = 588398819458560. Its totient is φ = 257424483509424.

The previous prime is 413300023039997. The next prime is 413300023040017. The reversal of 413300023040013 is 310040320003314.

It is not a de Polignac number, because 413300023040013 - 2⁴ = 413300023039997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413300023040017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69649478503 + ... + 69649484436.

It is an arithmetic number, because the mean of its divisors is an integer number (36774926216160).

Almost surely, 2^{413300023040013} is an apocalyptic number.

413300023040013 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

413300023040013 is a deficient number, since it is larger than the sum of its proper divisors (175098796418547).

413300023040013 is a wasteful number, since it uses less digits than its factorization.

413300023040013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139298963008.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 413300023040013 its reverse (310040320003314), we get a palindrome (723340343043327).

The spelling of 413300023040013 in words is "four hundred thirteen trillion, three hundred billion, twenty-three million, forty thousand, thirteen".