2013323022313 has 2 divisors, whose sum is σ = 2013323022314. Its totient is φ = 2013323022312.

The previous prime is 2013323022281. The next prime is 2013323022341. The reversal of 2013323022313 is 3132203233102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1491825288409 + 521497733904 = 1221403^2 + 722148^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013323022313 - 2⁵ = 2013323022281 is a prime.

It is not a weakly prime, because it can be changed into another prime (2013323022013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006661511156 + 1006661511157.

It is an arithmetic number, because the mean of its divisors is an integer number (1006661511157).

Almost surely, 2^{2013323022313} is an apocalyptic number.

It is an amenable number.

2013323022313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013323022313 is an equidigital number, since it uses as much as digits as its factorization.

2013323022313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 2013323022313 its reverse (3132203233102), we get a palindrome (5145526255415).

The spelling of 2013323022313 in words is "two trillion, thirteen billion, three hundred twenty-three million, twenty-two thousand, three hundred thirteen".