123021121321233 has 18 divisors (see below), whose sum is σ = 185759050874306. Its totient is φ = 78448251274272.

The previous prime is 123021121321193. The next prime is 123021121321249. The reversal of 123021121321233 is 332123121120321.

123021121321233 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 211 + 213 + 2 + 1 + 233 = 666.

It can be written as a sum of positive squares in only one way, i.e., 106848441909504 + 16172679411729 = 10336752^2 + 4021527^2 .

It is not a de Polignac number, because 123021121321233 - 2²⁴ = 123021104544017 is a prime.

It is a super-2 number, since 2×123021121321233² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123021121321197 and 123021121321206.

It is not an unprimeable number, because it can be changed into a prime (123021121321333) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12919667716 + ... + 12919677237.

Almost surely, 2^{123021121321233} is an apocalyptic number.

It is an amenable number.

123021121321233 is a deficient number, since it is larger than the sum of its proper divisors (62737929553073).

123021121321233 is a wasteful number, since it uses less digits than its factorization.

123021121321233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25839345005 (or 25839344979 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 123021121321233 its reverse (332123121120321), we get a palindrome (455144242441554).

The spelling of 123021121321233 in words is "one hundred twenty-three trillion, twenty-one billion, one hundred twenty-one million, three hundred twenty-one thousand, two hundred thirty-three".