123122313 has 24 divisors (see below), whose sum is σ = 194805000. Its totient is φ = 74586624.

The previous prime is 123122269. The next prime is 123122323. The reversal of 123122313 is 313221321.

It can be written as a sum of positive squares in 4 ways, for example, as 21455424 + 101666889 = 4632^2 + 10083^2 .

It is not a de Polignac number, because 123122313 - 2⁶ = 123122249 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (123122323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9438 + ... + 18311.

It is an arithmetic number, because the mean of its divisors is an integer number (8116875).

Almost surely, 2^123122313 is an apocalyptic number.

It is an amenable number.

123122313 is a deficient number, since it is larger than the sum of its proper divisors (71682687).

123122313 is a wasteful number, since it uses less digits than its factorization.

123122313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27801 (or 27798 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 123122313 is about 11096.0494321177. The cubic root of 123122313 is about 497.4837758065.

Adding to 123122313 its reverse (313221321), we get a palindrome (436343634).

The spelling of 123122313 in words is "one hundred twenty-three million, one hundred twenty-two thousand, three hundred thirteen".