23313313101073 has 2 divisors, whose sum is σ = 23313313101074. Its totient is φ = 23313313101072.

The previous prime is 23313313100989. The next prime is 23313313101083. The reversal of 23313313101073 is 37010131331332.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23169859266064 + 143453835009 = 4813508^2 + 378753^2 .

It is a cyclic number.

It is not a de Polignac number, because 23313313101073 - 2³³ = 23304723166481 is a prime.

It is not a weakly prime, because it can be changed into another prime (23313313101083) 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, 11656656550536 + 11656656550537.

It is an arithmetic number, because the mean of its divisors is an integer number (11656656550537).

Almost surely, 2^{23313313101073} is an apocalyptic number.

It is an amenable number.

23313313101073 is a deficient number, since it is larger than the sum of its proper divisors (1).

23313313101073 is an equidigital number, since it uses as much as digits as its factorization.

23313313101073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10206, while the sum is 31.

The spelling of 23313313101073 in words is "twenty-three trillion, three hundred thirteen billion, three hundred thirteen million, one hundred one thousand, seventy-three".