23302100113013 has 2 divisors, whose sum is σ = 23302100113014. Its totient is φ = 23302100113012.

The previous prime is 23302100112997. The next prime is 23302100113021. The reversal of 23302100113013 is 31031100120332.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14410390394404 + 8891709718609 = 3796102^2 + 2981897^2 .

It is a cyclic number.

It is not a de Polignac number, because 23302100113013 - 2⁴ = 23302100112997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23302100113043) 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, 11651050056506 + 11651050056507.

It is an arithmetic number, because the mean of its divisors is an integer number (11651050056507).

Almost surely, 2^{23302100113013} is an apocalyptic number.

It is an amenable number.

23302100113013 is a deficient number, since it is larger than the sum of its proper divisors (1).

23302100113013 is an equidigital number, since it uses as much as digits as its factorization.

23302100113013 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 20.

Adding to 23302100113013 its reverse (31031100120332), we get a palindrome (54333200233345).

The spelling of 23302100113013 in words is "twenty-three trillion, three hundred two billion, one hundred million, one hundred thirteen thousand, thirteen".