2300122013113 has 16 divisors (see below), whose sum is σ = 2465733553920. Its totient is φ = 2137898762496.

The previous prime is 2300122013089. The next prime is 2300122013177. The reversal of 2300122013113 is 3113102210032.

It is a cyclic number.

It is not a de Polignac number, because 2300122013113 - 2²⁹ = 2299585142201 is a prime.

It is a super-3 number, since 3×2300122013113³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2300122010113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3289168 + ... + 3926686.

It is an arithmetic number, because the mean of its divisors is an integer number (154108347120).

Almost surely, 2^{2300122013113} is an apocalyptic number.

It is an amenable number.

2300122013113 is a deficient number, since it is larger than the sum of its proper divisors (165611540807).

2300122013113 is a wasteful number, since it uses less digits than its factorization.

2300122013113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640176.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 2300122013113 its reverse (3113102210032), we get a palindrome (5413224223145).

The spelling of 2300122013113 in words is "two trillion, three hundred billion, one hundred twenty-two million, thirteen thousand, one hundred thirteen".