13300245200 has 120 divisors (see below), whose sum is σ = 34899522240. Its totient is φ = 4830796800.

The previous prime is 13300245193. The next prime is 13300245209. The reversal of 13300245200 is 254200331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13300245209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6365756 + ... + 6367844.

It is an arithmetic number, because the mean of its divisors is an integer number (290829352).

Almost surely, 2^13300245200 is an apocalyptic number.

13300245200 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 13300245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17449761120).

13300245200 is an abundant number, since it is smaller than the sum of its proper divisors (21599277040).

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

13300245200 is a wasteful number, since it uses less digits than its factorization.

13300245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3565 (or 3554 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 13300245200 its reverse (254200331), we get a palindrome (13554445531).

The spelling of 13300245200 in words is "thirteen billion, three hundred million, two hundred forty-five thousand, two hundred".