13353143200 has 72 divisors (see below), whose sum is σ = 32614662528. Its totient is φ = 5338586880.

The previous prime is 13353143117. The next prime is 13353143203. The reversal of 13353143200 is 234135331.

13353143200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (13353143203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2655889 + ... + 2660911.

It is an arithmetic number, because the mean of its divisors is an integer number (452981424).

Almost surely, 2^13353143200 is an apocalyptic number.

13353143200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13353143200 is an abundant number, since it is smaller than the sum of its proper divisors (19261519328).

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

13353143200 is a wasteful number, since it uses less digits than its factorization.

13353143200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8366 (or 8353 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

Adding to 13353143200 its reverse (234135331), we get a palindrome (13587278531).

The spelling of 13353143200 in words is "thirteen billion, three hundred fifty-three million, one hundred forty-three thousand, two hundred".