123003313321231 has 16 divisors (see below), whose sum is σ = 141293969118720. Its totient is φ = 104892385197600.

The previous prime is 123003313321201. The next prime is 123003313321261. The reversal of 123003313321231 is 132123313300321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (123003313321201) and next prime (123003313321261).

It is not a de Polignac number, because 123003313321231 - 2⁵ = 123003313321199 is a prime.

It is a super-3 number, since 3×123003313321231³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 123003313321231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123003313321201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36356806 + ... + 39595756.

It is an arithmetic number, because the mean of its divisors is an integer number (8830873069920).

Almost surely, 2^{123003313321231} is an apocalyptic number.

123003313321231 is a deficient number, since it is larger than the sum of its proper divisors (18290655797489).

123003313321231 is a wasteful number, since it uses less digits than its factorization.

123003313321231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3266694.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 123003313321231 its reverse (132123313300321), we get a palindrome (255126626621552).

The spelling of 123003313321231 in words is "one hundred twenty-three trillion, three billion, three hundred thirteen million, three hundred twenty-one thousand, two hundred thirty-one".