413313303 has 16 divisors (see below), whose sum is σ = 597752960. Its totient is φ = 252513504.

The previous prime is 413313283. The next prime is 413313317. The reversal of 413313303 is 303313314.

It is not a de Polignac number, because 413313303 - 2⁹ = 413312791 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 413313303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413333303) 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 15 ways as a sum of consecutive naturals, for example, 32701 + ... + 43542.

It is an arithmetic number, because the mean of its divisors is an integer number (37359560).

Almost surely, 2^413313303 is an apocalyptic number.

413313303 is a deficient number, since it is larger than the sum of its proper divisors (184439657).

413313303 is a wasteful number, since it uses less digits than its factorization.

413313303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76398.

The product of its (nonzero) digits is 972, while the sum is 21.

The square root of 413313303 is about 20330.1082879556. The cubic root of 413313303 is about 744.8916876304.

Adding to 413313303 its reverse (303313314), we get a palindrome (716626617).

The spelling of 413313303 in words is "four hundred thirteen million, three hundred thirteen thousand, three hundred three".