23013014220013 has 2 divisors, whose sum is σ = 23013014220014. Its totient is φ = 23013014220012.

The previous prime is 23013014219999. The next prime is 23013014220029. The reversal of 23013014220013 is 31002241031032.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22056379602084 + 956634617929 = 4696422^2 + 978077^2 .

It is a cyclic number.

It is not a de Polignac number, because 23013014220013 - 2⁵ = 23013014219981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23013014220083) 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, 11506507110006 + 11506507110007.

It is an arithmetic number, because the mean of its divisors is an integer number (11506507110007).

Almost surely, 2^{23013014220013} is an apocalyptic number.

It is an amenable number.

23013014220013 is a deficient number, since it is larger than the sum of its proper divisors (1).

23013014220013 is an equidigital number, since it uses as much as digits as its factorization.

23013014220013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 23013014220013 its reverse (31002241031032), we get a palindrome (54015255251045).

The spelling of 23013014220013 in words is "twenty-three trillion, thirteen billion, fourteen million, two hundred twenty thousand, thirteen".