13221024 has 48 divisors (see below), whose sum is σ = 35562240. Its totient is φ = 4298240.

The previous prime is 13221011. The next prime is 13221029. The reversal of 13221024 is 42012231.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 13220994 and 13221012.

It is not an unprimeable number, because it can be changed into a prime (13221029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2257 + ... + 5615.

It is an arithmetic number, because the mean of its divisors is an integer number (740880).

Almost surely, 2^13221024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13221024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17781120).

13221024 is an abundant number, since it is smaller than the sum of its proper divisors (22341216).

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

13221024 is a wasteful number, since it uses less digits than its factorization.

13221024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3413 (or 3405 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 13221024 is about 3636.0726065358. The cubic root of 13221024 is about 236.4585549563.

Adding to 13221024 its reverse (42012231), we get a palindrome (55233255).

It can be divided in two parts, 1322 and 1024, that added together give a triangular number (2346 = T₆₈).

The spelling of 13221024 in words is "thirteen million, two hundred twenty-one thousand, twenty-four".