13013224 has 48 divisors (see below), whose sum is σ = 28779300. Its totient is φ = 5499648.

The previous prime is 13013197. The next prime is 13013227. The reversal of 13013224 is 42231031.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12744900 + 268324 = 3570^2 + 518^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13013198 and 13013207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13013227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34702 + ... + 35074.

Almost surely, 2^13013224 is an apocalyptic number.

13013224 is a gapful number since it is divisible by the number (14) 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 13013224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14389650).

13013224 is an abundant number, since it is smaller than the sum of its proper divisors (15766076).

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

13013224 is a wasteful number, since it uses less digits than its factorization.

13013224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 13013224 is about 3607.3846481904. The cubic root of 13013224 is about 235.2131700864.

Adding to 13013224 its reverse (42231031), we get a palindrome (55244255).

The spelling of 13013224 in words is "thirteen million, thirteen thousand, two hundred twenty-four".