413141313 has 16 divisors (see below), whose sum is σ = 596220800. Its totient is φ = 252958464.

The previous prime is 413141303. The next prime is 413141317. The reversal of 413141313 is 313141314.

It is not a de Polignac number, because 413141313 - 2²⁵ = 379586881 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 413141313.

It is not an unprimeable number, because it can be changed into a prime (413141317) 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, 18856 + ... + 34377.

It is an arithmetic number, because the mean of its divisors is an integer number (37263800).

Almost surely, 2^413141313 is an apocalyptic number.

It is an amenable number.

413141313 is a deficient number, since it is larger than the sum of its proper divisors (183079487).

413141313 is a wasteful number, since it uses less digits than its factorization.

413141313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53448.

The product of its digits is 432, while the sum is 21.

The square root of 413141313 is about 20325.8779146191. The cubic root of 413141313 is about 744.7883506098.

Adding to 413141313 its reverse (313141314), we get a palindrome (726282627).

Subtracting from 413141313 its reverse (313141314), we obtain a palindrome (99999999).

The spelling of 413141313 in words is "four hundred thirteen million, one hundred forty-one thousand, three hundred thirteen".