123135321334013 has 2 divisors, whose sum is σ = 123135321334014. Its totient is φ = 123135321334012.

The previous prime is 123135321334007. The next prime is 123135321334073. The reversal of 123135321334013 is 310433123531321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 114926397259129 + 8208924074884 = 10720373^2 + 2865122^2 .

It is a cyclic number.

It is not a de Polignac number, because 123135321334013 - 2¹⁸ = 123135321071869 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123135321334073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61567660667006 + 61567660667007.

It is an arithmetic number, because the mean of its divisors is an integer number (61567660667007).

Almost surely, 2^{123135321334013} is an apocalyptic number.

It is an amenable number.

123135321334013 is a deficient number, since it is larger than the sum of its proper divisors (1).

123135321334013 is an equidigital number, since it uses as much as digits as its factorization.

123135321334013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 58320, while the sum is 35.

Adding to 123135321334013 its reverse (310433123531321), we get a palindrome (433568444865334).

The spelling of 123135321334013 in words is "one hundred twenty-three trillion, one hundred thirty-five billion, three hundred twenty-one million, three hundred thirty-four thousand, thirteen".