413124421313 has 16 divisors (see below), whose sum is σ = 420432608640. Its totient is φ = 405851212800.

The previous prime is 413124421243. The next prime is 413124421351. The reversal of 413124421313 is 313124421314.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-413124421313 is a prime.

It is a super-2 number, since 2×413124421313² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413124421363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47805473 + ... + 47814113.

It is an arithmetic number, because the mean of its divisors is an integer number (26277038040).

Almost surely, 2^413124421313 is an apocalyptic number.

It is an amenable number.

413124421313 is a deficient number, since it is larger than the sum of its proper divisors (7308187327).

413124421313 is a wasteful number, since it uses less digits than its factorization.

413124421313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10568.

The product of its digits is 6912, while the sum is 29.

Adding to 413124421313 its reverse (313124421314), we get a palindrome (726248842627).

Subtracting from 413124421313 its reverse (313124421314), we obtain a palindrome (99999999999).

The spelling of 413124421313 in words is "four hundred thirteen billion, one hundred twenty-four million, four hundred twenty-one thousand, three hundred thirteen".