123221313 has 24 divisors (see below), whose sum is σ = 180760320. Its totient is φ = 80877600.

The previous prime is 123221297. The next prime is 123221341. The reversal of 123221313 is 313122321.

It is not a de Polignac number, because 123221313 - 2⁴ = 123221297 is a prime.

It is a super-3 number, since 3×123221313³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (123221363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257008 + ... + 257486.

It is an arithmetic number, because the mean of its divisors is an integer number (7531680).

Almost surely, 2^123221313 is an apocalyptic number.

It is an amenable number.

123221313 is a deficient number, since it is larger than the sum of its proper divisors (57539007).

123221313 is a wasteful number, since it uses less digits than its factorization.

123221313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 866 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 123221313 is about 11100.5095828975. The cubic root of 123221313 is about 497.6170787472.

Adding to 123221313 its reverse (313122321), we get a palindrome (436343634).

The spelling of 123221313 in words is "one hundred twenty-three million, two hundred twenty-one thousand, three hundred thirteen".