13200400000 has 192 divisors, whose sum is σ = 33470592120. Its totient is φ = 5184000000.

The previous prime is 13200399997. The next prime is 13200400007. The reversal of 13200400000 is 400231.

It can be written as a sum of positive squares in 12 ways, for example, as 10497231936 + 2703168064 = 102456^2 + 51992^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 13200400000.

It is not an unprimeable number, because it can be changed into a prime (13200400007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24399730 + ... + 24400270.

Almost surely, 2^13200400000 is an apocalyptic number.

13200400000 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 13200400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16735296060).

13200400000 is an abundant number, since it is smaller than the sum of its proper divisors (20270192120).

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

13200400000 is an frugal number, since it uses more digits than its factorization.

13200400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 13200400000 its reverse (400231), we get a palindrome (13200800231).

The spelling of 13200400000 in words is "thirteen billion, two hundred million, four hundred thousand".