13200320 has 112 divisors (see below), whose sum is σ = 36868608. Its totient is φ = 4408320.

The previous prime is 13200311. The next prime is 13200323. The reversal of 13200320 is 2300231.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13200323) 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 15 ways as a sum of consecutive naturals, for example, 158999 + ... + 159081.

It is an arithmetic number, because the mean of its divisors is an integer number (329184).

Almost surely, 2^13200320 is an apocalyptic number.

13200320 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 13200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18434304).

13200320 is an abundant number, since it is smaller than the sum of its proper divisors (23668288).

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

13200320 is an equidigital number, since it uses as much as digits as its factorization.

13200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 13200320 is about 3633.2244632007. The cubic root of 13200320 is about 236.3350598409.

Adding to 13200320 its reverse (2300231), we get a palindrome (15500551).

The spelling of 13200320 in words is "thirteen million, two hundred thousand, three hundred twenty".