123112122313 has 8 divisors (see below), whose sum is σ = 127364347080. Its totient is φ = 118860362880.

The previous prime is 123112122281. The next prime is 123112122337. The reversal of 123112122313 is 313221211321.

It can be written as a sum of positive squares in 4 ways, for example, as 72993449929 + 50118672384 = 270173^2 + 223872^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 123112122313 - 2⁵ = 123112122281 is a prime.

It is a super-2 number, since 2×123112122313² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123112129313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 472531 + ... + 685207.

It is an arithmetic number, because the mean of its divisors is an integer number (15920543385).

Almost surely, 2^123112122313 is an apocalyptic number.

It is an amenable number.

123112122313 is a deficient number, since it is larger than the sum of its proper divisors (4252224767).

123112122313 is a wasteful number, since it uses less digits than its factorization.

123112122313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232667.

The product of its digits is 432, while the sum is 22.

Adding to 123112122313 its reverse (313221211321), we get a palindrome (436333333634).

The spelling of 123112122313 in words is "one hundred twenty-three billion, one hundred twelve million, one hundred twenty-two thousand, three hundred thirteen".