413211313 has 2 divisors, whose sum is σ = 413211314. Its totient is φ = 413211312.

The previous prime is 413211289. The next prime is 413211319. The reversal of 413211313 is 313112314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 308107809 + 105103504 = 17553^2 + 10252^2 .

It is a cyclic number.

It is not a de Polignac number, because 413211313 - 2²¹ = 411114161 is a prime.

It is not a weakly prime, because it can be changed into another prime (413211319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206605656 + 206605657.

It is an arithmetic number, because the mean of its divisors is an integer number (206605657).

Almost surely, 2^413211313 is an apocalyptic number.

It is an amenable number.

413211313 is a deficient number, since it is larger than the sum of its proper divisors (1).

413211313 is an equidigital number, since it uses as much as digits as its factorization.

413211313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 216, while the sum is 19.

The square root of 413211313 is about 20327.5997845294. The cubic root of 413211313 is about 744.8304122795.

Adding to 413211313 its reverse (313112314), we get a palindrome (726323627).

The spelling of 413211313 in words is "four hundred thirteen million, two hundred eleven thousand, three hundred thirteen".