123121313121233 has 12 divisors (see below), whose sum is σ = 143225463000420. Its totient is φ = 105530556523392.

The previous prime is 123121313121227. The next prime is 123121313121253. The reversal of 123121313121233 is 332121313121321.

It can be written as a sum of positive squares in 2 ways, for example, as 110016247032769 + 13105066088464 = 10488863^2 + 3620092^2 .

It is a de Polignac number, because none of the positive numbers 2^k-123121313121233 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 123121313121196 and 123121313121205.

It is not an unprimeable number, because it can be changed into a prime (123121313121253) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21162716 + ... + 26345837.

It is an arithmetic number, because the mean of its divisors is an integer number (11935455250035).

Almost surely, 2^{123121313121233} is an apocalyptic number.

It is an amenable number.

123121313121233 is a deficient number, since it is larger than the sum of its proper divisors (20104149879187).

123121313121233 is an equidigital number, since it uses as much as digits as its factorization.

123121313121233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47561456 (or 47561449 counting only the distinct ones).

The product of its digits is 3888, while the sum is 29.

Adding to 123121313121233 its reverse (332121313121321), we get a palindrome (455242626242554).

The spelling of 123121313121233 in words is "one hundred twenty-three trillion, one hundred twenty-one billion, three hundred thirteen million, one hundred twenty-one thousand, two hundred thirty-three".