133303313100200 has 96 divisors (see below), whose sum is σ = 320077692168960. Its totient is φ = 51577130764800.

The previous prime is 133303313100149. The next prime is 133303313100233. The reversal of 133303313100200 is 2001313303331.

133303313100200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8218859 + ... + 18279941.

It is an arithmetic number, because the mean of its divisors is an integer number (3334142626760).

Almost surely, 2^{133303313100200} is an apocalyptic number.

133303313100200 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 133303313100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160038846084480).

133303313100200 is an abundant number, since it is smaller than the sum of its proper divisors (186774379068760).

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

133303313100200 is a wasteful number, since it uses less digits than its factorization.

133303313100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10063267 (or 10063258 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 133303313100200 its reverse (2001313303331), we get a palindrome (135304626403531).

The spelling of 133303313100200 in words is "one hundred thirty-three trillion, three hundred three billion, three hundred thirteen million, one hundred thousand, two hundred".