2303013002113 has 2 divisors, whose sum is σ = 2303013002114. Its totient is φ = 2303013002112.

The previous prime is 2303013002089. The next prime is 2303013002123. The reversal of 2303013002113 is 3112003103032.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1920505387329 + 382507614784 = 1385823^2 + 618472^2 .

It is a cyclic number.

It is not a de Polignac number, because 2303013002113 - 2²⁹ = 2302476131201 is a prime.

It is not a weakly prime, because it can be changed into another prime (2303013002123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1151506501056 + 1151506501057.

It is an arithmetic number, because the mean of its divisors is an integer number (1151506501057).

Almost surely, 2^{2303013002113} is an apocalyptic number.

It is an amenable number.

2303013002113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2303013002113 is an equidigital number, since it uses as much as digits as its factorization.

2303013002113 is an odious number, because the sum of its binary digits is odd.

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

Adding to 2303013002113 its reverse (3112003103032), we get a palindrome (5415016105145).

The spelling of 2303013002113 in words is "two trillion, three hundred three billion, thirteen million, two thousand, one hundred thirteen".