2003133312 has 48 divisors (see below), whose sum is σ = 5764228080. Its totient is φ = 667710720.

The previous prime is 2003133299. The next prime is 2003133317. The reversal of 2003133312 is 2133313002.

2003133312 is a `hidden beast` number, since 20 + 0 + 313 + 331 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003133317) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 868264 + ... + 870567.

It is an arithmetic number, because the mean of its divisors is an integer number (120088085).

Almost surely, 2^2003133312 is an apocalyptic number.

It is an amenable number.

2003133312 is an abundant number, since it is smaller than the sum of its proper divisors (3761094768).

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

2003133312 is a wasteful number, since it uses less digits than its factorization.

2003133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738851 (or 1738836 counting only the distinct ones).

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

The square root of 2003133312 is about 44756.3773332918. The cubic root of 2003133312 is about 1260.5786608884.

Adding to 2003133312 its reverse (2133313002), we get a palindrome (4136446314).

The spelling of 2003133312 in words is "two billion, three million, one hundred thirty-three thousand, three hundred twelve".