413210013 has 8 divisors (see below), whose sum is σ = 564384576. Its totient is φ = 268754400.

The previous prime is 413210011. The next prime is 413210033. The reversal of 413210013 is 310012314.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 413210013 - 2¹ = 413210011 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 413209974 and 413210001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413210011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1679593 + ... + 1679838.

It is an arithmetic number, because the mean of its divisors is an integer number (70548072).

Almost surely, 2^413210013 is an apocalyptic number.

It is an amenable number.

413210013 is a deficient number, since it is larger than the sum of its proper divisors (151174563).

413210013 is a wasteful number, since it uses less digits than its factorization.

413210013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3359475.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 413210013 is about 20327.5678082746. The cubic root of 413210013 is about 744.8296311775.

Adding to 413210013 its reverse (310012314), we get a palindrome (723222327).

The spelling of 413210013 in words is "four hundred thirteen million, two hundred ten thousand, thirteen".