413313 has 4 divisors (see below), whose sum is σ = 551088. Its totient is φ = 275540.

The previous prime is 413299. The next prime is 413353. The reversal of 413313 is 313314.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 413313 - 2¹⁰ = 412289 is a prime.

It is a D-number.

It is a junction number, because it is equal to n+sod(n) for n = 413292 and 413301.

It is not an unprimeable number, because it can be changed into a prime (413353) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68883 + ... + 68888.

It is an arithmetic number, because the mean of its divisors is an integer number (137772).

2⁴¹³³¹³ is an apocalyptic number.

It is an amenable number.

413313 is a deficient number, since it is larger than the sum of its proper divisors (137775).

413313 is a wasteful number, since it uses less digits than its factorization.

413313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137774.

The product of its digits is 108, while the sum is 15.

The square root of 413313 is about 642.8942370250. The cubic root of 413313 is about 74.4891505604.

Adding to 413313 its reverse (313314), we get a palindrome (726627).

Subtracting from 413313 its reverse (313314), we obtain a palindrome (99999).

The spelling of 413313 in words is "four hundred thirteen thousand, three hundred thirteen".