23002333130113 has 2 divisors, whose sum is σ = 23002333130114. Its totient is φ = 23002333130112.

The previous prime is 23002333130111. The next prime is 23002333130137. The reversal of 23002333130113 is 31103133320032.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15884146482064 + 7118186648049 = 3985492^2 + 2667993^2 .

It is a cyclic number.

It is not a de Polignac number, because 23002333130113 - 2¹ = 23002333130111 is a prime.

Together with 23002333130111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (23002333130111) 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 as a sum of consecutive naturals, namely, 11501166565056 + 11501166565057.

It is an arithmetic number, because the mean of its divisors is an integer number (11501166565057).

Almost surely, 2^{23002333130113} is an apocalyptic number.

It is an amenable number.

23002333130113 is a deficient number, since it is larger than the sum of its proper divisors (1).

23002333130113 is an equidigital number, since it uses as much as digits as its factorization.

23002333130113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 23002333130113 its reverse (31103133320032), we get a palindrome (54105466450145).

The spelling of 23002333130113 in words is "twenty-three trillion, two billion, three hundred thirty-three million, one hundred thirty thousand, one hundred thirteen".