123013203142013 has 2 divisors, whose sum is σ = 123013203142014. Its totient is φ = 123013203142012.

The previous prime is 123013203142001. The next prime is 123013203142019. The reversal of 123013203142013 is 310241302310321.

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., 62948641624324 + 60064561517689 = 7934018^2 + 7750133^2 .

It is a cyclic number.

It is not a de Polignac number, because 123013203142013 - 2²⁴ = 123013186364797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123013203142019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61506601571006 + 61506601571007.

It is an arithmetic number, because the mean of its divisors is an integer number (61506601571007).

Almost surely, 2^{123013203142013} is an apocalyptic number.

It is an amenable number.

123013203142013 is a deficient number, since it is larger than the sum of its proper divisors (1).

123013203142013 is an equidigital number, since it uses as much as digits as its factorization.

123013203142013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 123013203142013 its reverse (310241302310321), we get a palindrome (433254505452334).

The spelling of 123013203142013 in words is "one hundred twenty-three trillion, thirteen billion, two hundred three million, one hundred forty-two thousand, thirteen".