133133110200 has 288 divisors, whose sum is σ = 472178818800. Its totient is φ = 33523476480.

The previous prime is 133133110177. The next prime is 133133110207. The reversal of 133133110200 is 2011331331.

It is a happy number.

133133110200 is a `hidden beast` number, since 1 + 331 + 3 + 311 + 0 + 20 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133133110207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10698382 + ... + 10710818.

Almost surely, 2^133133110200 is an apocalyptic number.

133133110200 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 133133110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236089409400).

133133110200 is an abundant number, since it is smaller than the sum of its proper divisors (339045708600).

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

133133110200 is a wasteful number, since it uses less digits than its factorization.

133133110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12791 (or 12779 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 133133110200 its reverse (2011331331), we get a palindrome (135144441531).

The spelling of 133133110200 in words is "one hundred thirty-three billion, one hundred thirty-three million, one hundred ten thousand, two hundred".