13353200 has 120 divisors (see below), whose sum is σ = 38747520. Its totient is φ = 4320000.

The previous prime is 13353173. The next prime is 13353209. The reversal of 13353200 is 235331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13353209) 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, 53075 + ... + 53325.

It is an arithmetic number, because the mean of its divisors is an integer number (322896).

Almost surely, 2^13353200 is an apocalyptic number.

13353200 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 13353200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19373760).

13353200 is an abundant number, since it is smaller than the sum of its proper divisors (25394320).

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

13353200 is a wasteful number, since it uses less digits than its factorization.

13353200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 17.

The square root of 13353200 is about 3654.2030594919. The cubic root of 13353200 is about 237.2439345434.

Adding to 13353200 its reverse (235331), we get a palindrome (13588531).

It can be divided in two parts, 133 and 53200, that multiplied together give a square (7075600 = 2660²).

The spelling of 13353200 in words is "thirteen million, three hundred fifty-three thousand, two hundred".