10002323113 has 2 divisors, whose sum is σ = 10002323114. Its totient is φ = 10002323112.

The previous prime is 10002323077. The next prime is 10002323131. The reversal of 10002323113 is 31132320001.

10002323113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (10002323131) 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., 7745408064 + 2256915049 = 88008^2 + 47507^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002323113 - 2²⁵ = 9968768681 is a prime.

It is not a weakly prime, because it can be changed into another prime (10002323153) 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, 5001161556 + 5001161557.

It is an arithmetic number, because the mean of its divisors is an integer number (5001161557).

Almost surely, 2^10002323113 is an apocalyptic number.

It is an amenable number.

10002323113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002323113 is an equidigital number, since it uses as much as digits as its factorization.

10002323113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10002323113 its reverse (31132320001), we get a palindrome (41134643114).

The spelling of 10002323113 in words is "ten billion, two million, three hundred twenty-three thousand, one hundred thirteen".