13334125200 has 240 divisors, whose sum is σ = 46862542272. Its totient is φ = 3214080000.

The previous prime is 13334125183. The next prime is 13334125223. The reversal of 13334125200 is 252143331.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2386410 + ... + 2391990.

Almost surely, 2^13334125200 is an apocalyptic number.

13334125200 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 13334125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23431271136).

13334125200 is an abundant number, since it is smaller than the sum of its proper divisors (33528417072).

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

13334125200 is a wasteful number, since it uses less digits than its factorization.

13334125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5794 (or 5783 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 13334125200 its reverse (252143331), we get a palindrome (13586268531).

The spelling of 13334125200 in words is "thirteen billion, three hundred thirty-four million, one hundred twenty-five thousand, two hundred".