123211331310321 has 20 divisors (see below), whose sum is σ = 184067027251492. Its totient is φ = 82136159612928.

The previous prime is 123211331310317. The next prime is 123211331310341. The reversal of 123211331310321 is 123013133112321.

123211331310321 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 1 + 1 + 331 + 3 + 1 + 0 + 321 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 56438572778721 + 66772758531600 = 7512561^2 + 8171460^2 .

It is not a de Polignac number, because 123211331310321 - 2² = 123211331310317 is a prime.

It is a super-2 number, since 2×123211331310321² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123211331310341) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 42360880 + ... + 45175953.

Almost surely, 2^{123211331310321} is an apocalyptic number.

It is an amenable number.

123211331310321 is a deficient number, since it is larger than the sum of its proper divisors (60855695941171).

123211331310321 is an equidigital number, since it uses as much as digits as its factorization.

123211331310321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87554222 (or 87554213 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 123211331310321 its reverse (123013133112321), we get a palindrome (246224464422642).

The spelling of 123211331310321 in words is "one hundred twenty-three trillion, two hundred eleven billion, three hundred thirty-one million, three hundred ten thousand, three hundred twenty-one".