2013113233013 has 2 divisors, whose sum is σ = 2013113233014. Its totient is φ = 2013113233012.

The previous prime is 2013113232961. The next prime is 2013113233031. The reversal of 2013113233013 is 3103323113102.

Together with next prime (2013113233031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1709668696849 + 303444536164 = 1307543^2 + 550858^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2013113233013 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2013113233013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2013113233063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006556616506 + 1006556616507.

It is an arithmetic number, because the mean of its divisors is an integer number (1006556616507).

Almost surely, 2^{2013113233013} is an apocalyptic number.

It is an amenable number.

2013113233013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013113233013 is an equidigital number, since it uses as much as digits as its factorization.

2013113233013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 2013113233013 its reverse (3103323113102), we get a palindrome (5116436346115).

The spelling of 2013113233013 in words is "two trillion, thirteen billion, one hundred thirteen million, two hundred thirty-three thousand, thirteen".