2013123313 has 2 divisors, whose sum is σ = 2013123314. Its totient is φ = 2013123312.

The previous prime is 2013123311. The next prime is 2013123319. The reversal of 2013123313 is 3133213102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1563174369 + 449948944 = 39537^2 + 21212^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013123313 - 2¹ = 2013123311 is a prime.

Together with 2013123311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2013123311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006561656 + 1006561657.

It is an arithmetic number, because the mean of its divisors is an integer number (1006561657).

Almost surely, 2^2013123313 is an apocalyptic number.

It is an amenable number.

2013123313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013123313 is an equidigital number, since it uses as much as digits as its factorization.

2013123313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 2013123313 is about 44867.8427495684. The cubic root of 2013123313 is about 1262.6707674507.

Adding to 2013123313 its reverse (3133213102), we get a palindrome (5146336415).

The spelling of 2013123313 in words is "two billion, thirteen million, one hundred twenty-three thousand, three hundred thirteen".