413303013 has 16 divisors (see below), whose sum is σ = 612627840. Its totient is φ = 275388192.

The previous prime is 413302951. The next prime is 413303021. The reversal of 413303013 is 310303314.

It is not a de Polignac number, because 413303013 - 2⁹ = 413302501 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413301013) 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 in 15 ways as a sum of consecutive naturals, for example, 75745 + ... + 81017.

It is an arithmetic number, because the mean of its divisors is an integer number (38289240).

Almost surely, 2^413303013 is an apocalyptic number.

It is an amenable number.

413303013 is a deficient number, since it is larger than the sum of its proper divisors (199324827).

413303013 is a wasteful number, since it uses less digits than its factorization.

413303013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8185 (or 8179 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 413303013 is about 20329.8552134539. The cubic root of 413303013 is about 744.8855058800.

Adding to 413303013 its reverse (310303314), we get a palindrome (723606327).

The spelling of 413303013 in words is "four hundred thirteen million, three hundred three thousand, thirteen".