13213224 has 96 divisors (see below), whose sum is σ = 38188800. Its totient is φ = 4118400.

The previous prime is 13213159. The next prime is 13213229. The reversal of 13213224 is 42231231.

It is a Cunningham number, because it is equal to 3635²-1.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a junction number, because it is equal to n+sod(n) for n = 13213197 and 13213206.

It is not an unprimeable number, because it can be changed into a prime (13213229) 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 23 ways as a sum of consecutive naturals, for example, 130774 + ... + 130874.

It is an arithmetic number, because the mean of its divisors is an integer number (397800).

Almost surely, 2^13213224 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 13213224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19094400).

13213224 is an abundant number, since it is smaller than the sum of its proper divisors (24975576).

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

13213224 is a wasteful number, since it uses less digits than its factorization.

13213224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 208 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 13213224 is about 3634.9998624484. Note that the first 3 decimals coincide. The cubic root of 13213224 is about 236.4120447023.

Adding to 13213224 its reverse (42231231), we get a palindrome (55444455).

The spelling of 13213224 in words is "thirteen million, two hundred thirteen thousand, two hundred twenty-four".