200133200133 has 48 divisors (see below), whose sum is σ = 300363069552. Its totient is φ = 128304000000.

The previous prime is 200133200107. The next prime is 200133200159. The reversal of 200133200133 is 331002331002.

200133200133 is a `hidden beast` number, since 200 + 1 + 332 + 0 + 0 + 133 = 666.

It is an interprime number because it is at equal distance from previous prime (200133200107) and next prime (200133200159).

It can be written as a sum of positive squares in 8 ways, for example, as 141693522084 + 58439678049 = 376422^2 + 241743^2 .

It is not a de Polignac number, because 200133200133 - 2⁵ = 200133200101 is a prime.

It is a super-3 number, since 3×200133200133³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200133700133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20208483 + ... + 20218383.

It is an arithmetic number, because the mean of its divisors is an integer number (6257563949).

Almost surely, 2^200133200133 is an apocalyptic number.

It is an amenable number.

200133200133 is a deficient number, since it is larger than the sum of its proper divisors (100229869419).

200133200133 is a wasteful number, since it uses less digits than its factorization.

200133200133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10646 (or 10643 counting only the distinct ones).

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

Adding to 200133200133 its reverse (331002331002), we get a palindrome (531135531135).

The spelling of 200133200133 in words is "two hundred billion, one hundred thirty-three million, two hundred thousand, one hundred thirty-three".