2013313307 has 2 divisors, whose sum is σ = 2013313308. Its totient is φ = 2013313306.

The previous prime is 2013313297. The next prime is 2013313319. The reversal of 2013313307 is 7033133102.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2013313307 - 2¹⁸ = 2013051163 is a prime.

It is not a weakly prime, because it can be changed into another prime (2013313327) 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 as a sum of consecutive naturals, namely, 1006656653 + 1006656654.

It is an arithmetic number, because the mean of its divisors is an integer number (1006656654).

Almost surely, 2^2013313307 is an apocalyptic number.

2013313307 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013313307 is an equidigital number, since it uses as much as digits as its factorization.

2013313307 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 23.

The square root of 2013313307 is about 44869.9599620949. The cubic root of 2013313307 is about 1262.7104888662.

Adding to 2013313307 its reverse (7033133102), we get a palindrome (9046446409).

The spelling of 2013313307 in words is "two billion, thirteen million, three hundred thirteen thousand, three hundred seven".