13200114400 has 144 divisors (see below), whose sum is σ = 35414139600. Its totient is φ = 4764569600.

The previous prime is 13200114383. The next prime is 13200114401. The reversal of 13200114400 is 441100231.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13200114401) 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, 1200126 + ... + 1211074.

It is an arithmetic number, because the mean of its divisors is an integer number (245931525).

Almost surely, 2^13200114400 is an apocalyptic number.

13200114400 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 13200114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17707069800).

13200114400 is an abundant number, since it is smaller than the sum of its proper divisors (22214025200).

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

13200114400 is a wasteful number, since it uses less digits than its factorization.

13200114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11117 (or 11104 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 13200114400 its reverse (441100231), we get a palindrome (13641214631).

The spelling of 13200114400 in words is "thirteen billion, two hundred million, one hundred fourteen thousand, four hundred".