200133133002 has 96 divisors (see below), whose sum is σ = 484151675904. Its totient is φ = 59227668000.

The previous prime is 200133132973. The next prime is 200133133019. The reversal of 200133133002 is 200331331002.

200133133002 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 331 + 330 + 0 + 2 = 666.

200133133002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4322877 + ... + 4368927.

It is an arithmetic number, because the mean of its divisors is an integer number (5043246624).

Almost surely, 2^200133133002 is an apocalyptic number.

200133133002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 200133133002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242075837952).

200133133002 is an abundant number, since it is smaller than the sum of its proper divisors (284018542902).

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

200133133002 is a wasteful number, since it uses less digits than its factorization.

200133133002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46584 (or 46581 counting only the distinct ones).

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

Adding to 200133133002 its reverse (200331331002), we get a palindrome (400464464004).

The spelling of 200133133002 in words is "two hundred billion, one hundred thirty-three million, one hundred thirty-three thousand, two".