123123002122313 has 2 divisors, whose sum is σ = 123123002122314. Its totient is φ = 123123002122312.

The previous prime is 123123002122301. The next prime is 123123002122321. The reversal of 123123002122313 is 313221200321321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95712039262009 + 27410962860304 = 9783253^2 + 5235548^2 .

It is a cyclic number.

It is not a de Polignac number, because 123123002122313 - 2¹² = 123123002118217 is a prime.

It is a super-2 number, since 2×123123002122313² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (123123002152313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61561501061156 + 61561501061157.

It is an arithmetic number, because the mean of its divisors is an integer number (61561501061157).

Almost surely, 2^{123123002122313} is an apocalyptic number.

It is an amenable number.

123123002122313 is a deficient number, since it is larger than the sum of its proper divisors (1).

123123002122313 is an equidigital number, since it uses as much as digits as its factorization.

123123002122313 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 123123002122313 its reverse (313221200321321), we get a palindrome (436344202443634).

The spelling of 123123002122313 in words is "one hundred twenty-three trillion, one hundred twenty-three billion, two million, one hundred twenty-two thousand, three hundred thirteen".