2002133133 has 96 divisors (see below), whose sum is σ = 4027226112. Its totient is φ = 959947200.

The previous prime is 2002133131. The next prime is 2002133137. The reversal of 2002133133 is 3313312002.

It is not a de Polignac number, because 2002133133 - 2¹ = 2002133131 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002133131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 239128 + ... + 247358.

It is an arithmetic number, because the mean of its divisors is an integer number (41950272).

Almost surely, 2^2002133133 is an apocalyptic number.

It is an amenable number.

2002133133 is an abundant number, since it is smaller than the sum of its proper divisors (2025092979).

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

2002133133 is a wasteful number, since it uses less digits than its factorization.

2002133133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8277 (or 8265 counting only the distinct ones).

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

The square root of 2002133133 is about 44745.2023461734. The cubic root of 2002133133 is about 1260.3688206017.

Adding to 2002133133 its reverse (3313312002), we get a palindrome (5315445135).

The spelling of 2002133133 in words is "two billion, two million, one hundred thirty-three thousand, one hundred thirty-three".