123313133323217 has 2 divisors, whose sum is σ = 123313133323218. Its totient is φ = 123313133323216.

The previous prime is 123313133323183. The next prime is 123313133323267. The reversal of 123313133323217 is 712323331313321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120581504483521 + 2731628839696 = 10980961^2 + 1652764^2 .

It is a cyclic number.

It is not a de Polignac number, because 123313133323217 - 2¹⁰ = 123313133322193 is a prime.

It is a super-2 number, since 2×123313133323217² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (123313133323267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61656566661608 + 61656566661609.

It is an arithmetic number, because the mean of its divisors is an integer number (61656566661609).

Almost surely, 2^{123313133323217} is an apocalyptic number.

It is an amenable number.

123313133323217 is a deficient number, since it is larger than the sum of its proper divisors (1).

123313133323217 is an equidigital number, since it uses as much as digits as its factorization.

123313133323217 is an evil number, because the sum of its binary digits is even.

The product of its digits is 122472, while the sum is 38.

Adding to 123313133323217 its reverse (712323331313321), we get a palindrome (835636464636538).

The spelling of 123313133323217 in words is "one hundred twenty-three trillion, three hundred thirteen billion, one hundred thirty-three million, three hundred twenty-three thousand, two hundred seventeen".