13200202400 has 288 divisors, whose sum is σ = 40351167360. Its totient is φ = 4096512000.

The previous prime is 13200202369. The next prime is 13200202429. The reversal of 13200202400 is 420200231.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25933346 + ... + 25933854.

It is an arithmetic number, because the mean of its divisors is an integer number (140108220).

Almost surely, 2^13200202400 is an apocalyptic number.

13200202400 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 13200202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20175583680).

13200202400 is an abundant number, since it is smaller than the sum of its proper divisors (27150964960).

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

13200202400 is a wasteful number, since it uses less digits than its factorization.

13200202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 13200202400 its reverse (420200231), we get a palindrome (13620402631).

The spelling of 13200202400 in words is "thirteen billion, two hundred million, two hundred two thousand, four hundred".