13307224320 has 504 divisors, whose sum is σ = 51513693336. Its totient is φ = 3272638464.

The previous prime is 13307224297. The next prime is 13307224321. The reversal of 13307224320 is 2342270331.

13307224320 is a `hidden beast` number, since 1 + 330 + 7 + 2 + 2 + 4 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2985984 + 13304238336 = 1728^2 + 115344^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13307224321) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 12130012 + ... + 12131108.

It is an arithmetic number, because the mean of its divisors is an integer number (102209709).

Almost surely, 2^13307224320 is an apocalyptic number.

13307224320 is a gapful number since it is divisible by the number (10) 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 13307224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25756846668).

13307224320 is an abundant number, since it is smaller than the sum of its proper divisors (38206469016).

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

13307224320 is an equidigital number, since it uses as much as digits as its factorization.

13307224320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

Adding to 13307224320 its reverse (2342270331), we get a palindrome (15649494651).

The spelling of 13307224320 in words is "thirteen billion, three hundred seven million, two hundred twenty-four thousand, three hundred twenty".