123012223338013 has 2 divisors, whose sum is σ = 123012223338014. Its totient is φ = 123012223338012.

The previous prime is 123012223337909. The next prime is 123012223338019. The reversal of 123012223338013 is 310833322210321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122959112448249 + 53110889764 = 11088693^2 + 230458^2 .

It is a cyclic number.

It is not a de Polignac number, because 123012223338013 - 2³³ = 123003633403421 is a prime.

It is a super-2 number, since 2×123012223338013² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 123012223338013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123012223338019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61506111669006 + 61506111669007.

It is an arithmetic number, because the mean of its divisors is an integer number (61506111669007).

Almost surely, 2^{123012223338013} is an apocalyptic number.

It is an amenable number.

123012223338013 is a deficient number, since it is larger than the sum of its proper divisors (1).

123012223338013 is an equidigital number, since it uses as much as digits as its factorization.

123012223338013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 34.

Adding to 123012223338013 its reverse (310833322210321), we get a palindrome (433845545548334).

The spelling of 123012223338013 in words is "one hundred twenty-three trillion, twelve billion, two hundred twenty-three million, three hundred thirty-eight thousand, thirteen".