13203201300 has 288 divisors, whose sum is σ = 41766326784. Its totient is φ = 3207168000.

The previous prime is 13203201281. The next prime is 13203201337. The reversal of 13203201300 is 310230231.

13203201300 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13203201300.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 48720165 + ... + 48720435.

It is an arithmetic number, because the mean of its divisors is an integer number (145021968).

Almost surely, 2^13203201300 is an apocalyptic number.

13203201300 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 13203201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20883163392).

13203201300 is an abundant number, since it is smaller than the sum of its proper divisors (28563125484).

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

13203201300 is a wasteful number, since it uses less digits than its factorization.

13203201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 13203201300 its reverse (310230231), we get a palindrome (13513431531).

The spelling of 13203201300 in words is "thirteen billion, two hundred three million, two hundred one thousand, three hundred".