2133133002 has 512 divisors, whose sum is σ = 7018905600. Its totient is φ = 461894400.

The previous prime is 2133133001. The next prime is 2133133003. The reversal of 2133133002 is 2003313312.

2133133002 is a `hidden beast` number, since 2 + 1 + 331 + 330 + 0 + 2 = 666.

2133133002 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2133133001) and next prime (2133133003).

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

It is not an unprimeable number, because it can be changed into a prime (2133133001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 31837773 + ... + 31837839.

It is an arithmetic number, because the mean of its divisors is an integer number (13708800).

Almost surely, 2^2133133002 is an apocalyptic number.

2133133002 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 2133133002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3509452800).

2133133002 is an abundant number, since it is smaller than the sum of its proper divisors (4885772598).

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

2133133002 is a wasteful number, since it uses less digits than its factorization.

2133133002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 153 counting only the distinct ones).

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

The square root of 2133133002 is about 46185.8528339577. The cubic root of 2133133002 is about 1287.2788828428.

Adding to 2133133002 its reverse (2003313312), we get a palindrome (4136446314).

The spelling of 2133133002 in words is "two billion, one hundred thirty-three million, one hundred thirty-three thousand, two".