12221313 has 16 divisors (see below), whose sum is σ = 18473280. Its totient is φ = 7124544.

The previous prime is 12221273. The next prime is 12221327. The reversal of 12221313 is 31312221.

It is not a de Polignac number, because 12221313 - 2⁸ = 12221057 is a prime.

It is a super-3 number, since 3×12221313³ (a number of 22 digits) contains 333 as substring.

12221313 is a modest number, since divided by 1313 gives 1222 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 12221292 and 12221301.

It is not an unprimeable number, because it can be changed into a prime (12221333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7506 + ... + 8987.

It is an arithmetic number, because the mean of its divisors is an integer number (1154580).

Almost surely, 2^12221313 is an apocalyptic number.

12221313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12221313 is a deficient number, since it is larger than the sum of its proper divisors (6251967).

12221313 is a wasteful number, since it uses less digits than its factorization.

12221313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16528.

The product of its digits is 72, while the sum is 15.

The square root of 12221313 is about 3495.8994550759. The cubic root of 12221313 is about 230.3417289402.

Adding to 12221313 its reverse (31312221), we get a palindrome (43533534).

The spelling of 12221313 in words is "twelve million, two hundred twenty-one thousand, three hundred thirteen".