13221311 has 8 divisors (see below), whose sum is σ = 13748784. Its totient is φ = 12703680.

The previous prime is 13221293. The next prime is 13221317. The reversal of 13221311 is 11312231.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13221311 - 2¹⁰ = 13220287 is a prime.

It is a super-3 number, since 3×13221311³ (a number of 22 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13221317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 341 + ... + 5153.

It is an arithmetic number, because the mean of its divisors is an integer number (1718598).

Almost surely, 2^13221311 is an apocalyptic number.

13221311 is a deficient number, since it is larger than the sum of its proper divisors (527473).

13221311 is an equidigital number, since it uses as much as digits as its factorization.

13221311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4921.

The product of its digits is 36, while the sum is 14.

The square root of 13221311 is about 3636.1120719802. The cubic root of 13221311 is about 236.4602659462.

Adding to 13221311 its reverse (11312231), we get a palindrome (24533542).

The spelling of 13221311 in words is "thirteen million, two hundred twenty-one thousand, three hundred eleven".