2003312133 has 12 divisors (see below), whose sum is σ = 2904433740. Its totient is φ = 1330574976.

The previous prime is 2003312123. The next prime is 2003312149. The reversal of 2003312133 is 3312133002.

2003312133 is a `hidden beast` number, since 200 + 331 + 2 + 133 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 62204769 + 1941107364 = 7887^2 + 44058^2 .

It is not a de Polignac number, because 2003312133 - 2⁹ = 2003311621 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003312123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 411316 + ... + 416157.

It is an arithmetic number, because the mean of its divisors is an integer number (242036145).

Almost surely, 2^2003312133 is an apocalyptic number.

It is an amenable number.

2003312133 is a deficient number, since it is larger than the sum of its proper divisors (901121607).

2003312133 is a wasteful number, since it uses less digits than its factorization.

2003312133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827748 (or 827745 counting only the distinct ones).

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

The square root of 2003312133 is about 44758.3750040146. The cubic root of 2003312133 is about 1260.6161706617.

Adding to 2003312133 its reverse (3312133002), we get a palindrome (5315445135).

The spelling of 2003312133 in words is "two billion, three million, three hundred twelve thousand, one hundred thirty-three".