13133320200 has 1152 divisors, whose sum is σ = 61128587520. Its totient is φ = 2438553600.

The previous prime is 13133320181. The next prime is 13133320217. The reversal of 13133320200 is 202333131.

13133320200 is a `hidden beast` number, since 1 + 313 + 332 + 0 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 66666502 + ... + 66666698.

It is an arithmetic number, because the mean of its divisors is an integer number (53063010).

Almost surely, 2^13133320200 is an apocalyptic number.

13133320200 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 13133320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30564293760).

13133320200 is an abundant number, since it is smaller than the sum of its proper divisors (47995267320).

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

13133320200 is a wasteful number, since it uses less digits than its factorization.

13133320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13133320200 its reverse (202333131), we get a palindrome (13335653331).

It can be divided in two parts, 13133 and 320200, that added together give a palindrome (333333).

The spelling of 13133320200 in words is "thirteen billion, one hundred thirty-three million, three hundred twenty thousand, two hundred".