123303101121321 has 16 divisors (see below), whose sum is σ = 185534446829760. Its totient is φ = 72152284877120.

The previous prime is 123303101121311. The next prime is 123303101121353. The reversal of 123303101121321 is 123121101303321.

It is a cyclic number.

It is not a de Polignac number, because 123303101121321 - 2⁶ = 123303101121257 is a prime.

It is a super-3 number, since 3×123303101121321³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 123303101121291 and 123303101121300.

It is not an unprimeable number, because it can be changed into a prime (123303101121311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64421681970 + ... + 64421683883.

It is an arithmetic number, because the mean of its divisors is an integer number (11595902926860).

Almost surely, 2^{123303101121321} is an apocalyptic number.

123303101121321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123303101121321 is a deficient number, since it is larger than the sum of its proper divisors (62231345708439).

123303101121321 is a wasteful number, since it uses less digits than its factorization.

123303101121321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128843365896.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 123303101121321 its reverse (123121101303321), we get a palindrome (246424202424642).

The spelling of 123303101121321 in words is "one hundred twenty-three trillion, three hundred three billion, one hundred one million, one hundred twenty-one thousand, three hundred twenty-one".