13401104200 has 192 divisors, whose sum is σ = 35187747840. Its totient is φ = 4704000000.

The previous prime is 13401104153. The next prime is 13401104207. The reversal of 13401104200 is 240110431.

13401104200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13401104207) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9109465 + ... + 9110935.

It is an arithmetic number, because the mean of its divisors is an integer number (183269520).

Almost surely, 2^13401104200 is an apocalyptic number.

13401104200 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 13401104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17593873920).

13401104200 is an abundant number, since it is smaller than the sum of its proper divisors (21786643640).

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

13401104200 is a wasteful number, since it uses less digits than its factorization.

13401104200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1631 counting only the distinct ones).

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

Adding to 13401104200 its reverse (240110431), we get a palindrome (13641214631).

The spelling of 13401104200 in words is "thirteen billion, four hundred one million, one hundred four thousand, two hundred".