123303223022113 has 2 divisors, whose sum is σ = 123303223022114. Its totient is φ = 123303223022112.

The previous prime is 123303223022059. The next prime is 123303223022129. The reversal of 123303223022113 is 311220322303321.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105981836383504 + 17321386638609 = 10294748^2 + 4161897^2 .

It is a cyclic number.

It is not a de Polignac number, because 123303223022113 - 2²⁹ = 123302686151201 is a prime.

It is not a weakly prime, because it can be changed into another prime (123303223022713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61651611511056 + 61651611511057.

It is an arithmetic number, because the mean of its divisors is an integer number (61651611511057).

Almost surely, 2^{123303223022113} is an apocalyptic number.

It is an amenable number.

123303223022113 is a deficient number, since it is larger than the sum of its proper divisors (1).

123303223022113 is an equidigital number, since it uses as much as digits as its factorization.

123303223022113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 123303223022113 its reverse (311220322303321), we get a palindrome (434523545325434).

The spelling of 123303223022113 in words is "one hundred twenty-three trillion, three hundred three billion, two hundred twenty-three million, twenty-two thousand, one hundred thirteen".