413108313 has 16 divisors (see below), whose sum is σ = 608570496. Its totient is φ = 247934720.

The previous prime is 413108309. The next prime is 413108321. The reversal of 413108313 is 313801314.

It is a cyclic number.

It is not a de Polignac number, because 413108313 - 2² = 413108309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (413108303) 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, 174918 + ... + 177263.

It is an arithmetic number, because the mean of its divisors is an integer number (38035656).

Almost surely, 2^413108313 is an apocalyptic number.

It is an amenable number.

413108313 is a deficient number, since it is larger than the sum of its proper divisors (195462183).

413108313 is a wasteful number, since it uses less digits than its factorization.

413108313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352224.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 413108313 is about 20325.0661253537. The cubic root of 413108313 is about 744.7685198891.

Adding to 413108313 its reverse (313801314), we get a palindrome (726909627).

The spelling of 413108313 in words is "four hundred thirteen million, one hundred eight thousand, three hundred thirteen".