13013224224 has 384 divisors, whose sum is σ = 46169948160. Its totient is φ = 3099340800.

The previous prime is 13013224219. The next prime is 13013224253. The reversal of 13013224224 is 42242231031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 13013224194 and 13013224203.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 18353982 + ... + 18354690.

It is an arithmetic number, because the mean of its divisors is an integer number (120234240).

Almost surely, 2^13013224224 is an apocalyptic number.

13013224224 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 13013224224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23084974080).

13013224224 is an abundant number, since it is smaller than the sum of its proper divisors (33156723936).

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

13013224224 is a wasteful number, since it uses less digits than its factorization.

13013224224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13013224224 its reverse (42242231031), we get a palindrome (55255455255).

The spelling of 13013224224 in words is "thirteen billion, thirteen million, two hundred twenty-four thousand, two hundred twenty-four".