413211013 has 2 divisors, whose sum is σ = 413211014. Its totient is φ = 413211012.

The previous prime is 413210977. The next prime is 413211023. The reversal of 413211013 is 310112314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 325189089 + 88021924 = 18033^2 + 9382^2 .

It is a cyclic number.

It is not a de Polignac number, because 413211013 - 2¹³ = 413202821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413211023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206605506 + 206605507.

It is an arithmetic number, because the mean of its divisors is an integer number (206605507).

Almost surely, 2^413211013 is an apocalyptic number.

It is an amenable number.

413211013 is a deficient number, since it is larger than the sum of its proper divisors (1).

413211013 is an equidigital number, since it uses as much as digits as its factorization.

413211013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 413211013 is about 20327.5924053981. The cubic root of 413211013 is about 744.8302320253.

Adding to 413211013 its reverse (310112314), we get a palindrome (723323327).

The spelling of 413211013 in words is "four hundred thirteen million, two hundred eleven thousand, thirteen".