123365563321 has 64 divisors (see below), whose sum is σ = 168027664896. Its totient is φ = 87462144000.

The previous prime is 123365563319. The next prime is 123365563333.

123365563321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 123365563321 - 2¹ = 123365563319 is a prime.

It is a super-3 number, since 3×123365563321³ (a number of 34 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (123365563301) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23553915 + ... + 23559151.

It is an arithmetic number, because the mean of its divisors is an integer number (2625432264).

Almost surely, 2^123365563321 is an apocalyptic number.

123365563321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123365563321 is a deficient number, since it is larger than the sum of its proper divisors (44662101575).

123365563321 is a wasteful number, since it uses less digits than its factorization.

123365563321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5602.

The product of its digits is 291600, while the sum is 40.

It can be divided in two parts, 123365 and 563321, that added together give a palindrome (686686).

The spelling of 123365563321 in words is "one hundred twenty-three billion, three hundred sixty-five million, five hundred sixty-three thousand, three hundred twenty-one".