413003313 has 8 divisors (see below), whose sum is σ = 611856800. Its totient is φ = 275335524.

The previous prime is 413003281. The next prime is 413003317. The reversal of 413003313 is 313300314.

It is not a de Polignac number, because 413003313 - 2⁵ = 413003281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413003317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7648183 + ... + 7648236.

It is an arithmetic number, because the mean of its divisors is an integer number (76482100).

Almost surely, 2^413003313 is an apocalyptic number.

It is an amenable number.

413003313 is a deficient number, since it is larger than the sum of its proper divisors (198853487).

413003313 is a wasteful number, since it uses less digits than its factorization.

413003313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15296428 (or 15296422 counting only the distinct ones).

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

The square root of 413003313 is about 20322.4829437744. The cubic root of 413003313 is about 744.7054151145.

Adding to 413003313 its reverse (313300314), we get a palindrome (726303627).

The spelling of 413003313 in words is "four hundred thirteen million, three thousand, three hundred thirteen".