2013223313 has 2 divisors, whose sum is σ = 2013223314. Its totient is φ = 2013223312.

The previous prime is 2013223301. The next prime is 2013223339. The reversal of 2013223313 is 3133223102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1863821584 + 149401729 = 43172^2 + 12223^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013223313 - 2²⁸ = 1744787857 is a prime.

It is not a weakly prime, because it can be changed into another prime (2013223363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006611656 + 1006611657.

It is an arithmetic number, because the mean of its divisors is an integer number (1006611657).

Almost surely, 2^2013223313 is an apocalyptic number.

It is an amenable number.

2013223313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013223313 is an equidigital number, since it uses as much as digits as its factorization.

2013223313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 2013223313 is about 44868.9571195944. The cubic root of 2013223313 is about 1262.6916744306.

Adding to 2013223313 its reverse (3133223102), we get a palindrome (5146446415).

The spelling of 2013223313 in words is "two billion, thirteen million, two hundred twenty-three thousand, three hundred thirteen".