413121504321513 has 96 divisors (see below), whose sum is σ = 687196438306560. Its totient is φ = 236897539522560.

The previous prime is 413121504321497. The next prime is 413121504321523. The reversal of 413121504321513 is 315123405121314.

413121504321513 is a `hidden beast` number, since 4 + 1 + 3 + 1 + 21 + 50 + 432 + 151 + 3 = 666.

It is not a de Polignac number, because 413121504321513 - 2⁴ = 413121504321497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (413121504321523) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 917784018 + ... + 918234036.

It is an arithmetic number, because the mean of its divisors is an integer number (7158296232360).

Almost surely, 2^{413121504321513} is an apocalyptic number.

It is an amenable number.

413121504321513 is a deficient number, since it is larger than the sum of its proper divisors (274074933985047).

413121504321513 is a wasteful number, since it uses less digits than its factorization.

413121504321513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454639 (or 454636 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 413121504321513 its reverse (315123405121314), we get a palindrome (728244909442827).

The spelling of 413121504321513 in words is "four hundred thirteen trillion, one hundred twenty-one billion, five hundred four million, three hundred twenty-one thousand, five hundred thirteen".