123100122232313 has 2 divisors, whose sum is σ = 123100122232314. Its totient is φ = 123100122232312.

The previous prime is 123100122232249. The next prime is 123100122232331. The reversal of 123100122232313 is 313232221001321.

Together with next prime (123100122232331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122792926952809 + 307195279504 = 11081197^2 + 554252^2 .

It is a cyclic number.

It is not a de Polignac number, because 123100122232313 - 2⁶ = 123100122232249 is a prime.

It is a super-2 number, since 2×123100122232313² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (123100122222313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61550061116156 + 61550061116157.

It is an arithmetic number, because the mean of its divisors is an integer number (61550061116157).

Almost surely, 2^{123100122232313} is an apocalyptic number.

It is an amenable number.

123100122232313 is a deficient number, since it is larger than the sum of its proper divisors (1).

123100122232313 is an equidigital number, since it uses as much as digits as its factorization.

123100122232313 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 123100122232313 its reverse (313232221001321), we get a palindrome (436332343233634).

The spelling of 123100122232313 in words is "one hundred twenty-three trillion, one hundred billion, one hundred twenty-two million, two hundred thirty-two thousand, three hundred thirteen".