13221288 has 48 divisors (see below), whose sum is σ = 36578880. Its totient is φ = 4312224.

The previous prime is 13221287. The next prime is 13221289. The reversal of 13221288 is 88212231.

It is an interprime number because it is at equal distance from previous prime (13221287) and next prime (13221289).

It is a super-3 number, since 3×13221288³ (a number of 22 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13221287) 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 11 ways as a sum of consecutive naturals, for example, 1431 + ... + 5337.

It is an arithmetic number, because the mean of its divisors is an integer number (762060).

Almost surely, 2^13221288 is an apocalyptic number.

13221288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13221288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18289440).

13221288 is an abundant number, since it is smaller than the sum of its proper divisors (23357592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13221288 is a wasteful number, since it uses less digits than its factorization.

13221288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3966 (or 3959 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 13221288 is about 3636.1089092600. The cubic root of 13221288 is about 236.4601288295.

The spelling of 13221288 in words is "thirteen million, two hundred twenty-one thousand, two hundred eighty-eight".