2133003003 has 32 divisors (see below), whose sum is σ = 3051012096. Its totient is φ = 1322273568.

The previous prime is 2133002999. The next prime is 2133003011. The reversal of 2133003003 is 3003003312.

It is not a de Polignac number, because 2133003003 - 2² = 2133002999 is a prime.

2133003003 is a modest number, since divided by 3003 gives 2133 as remainder.

It is not an unprimeable number, because it can be changed into a prime (2133003013) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 671926 + ... + 675092.

It is an arithmetic number, because the mean of its divisors is an integer number (95344128).

Almost surely, 2^2133003003 is an apocalyptic number.

2133003003 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

2133003003 is a deficient number, since it is larger than the sum of its proper divisors (918009093).

2133003003 is a wasteful number, since it uses less digits than its factorization.

2133003003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3463.

The product of its (nonzero) digits is 162, while the sum is 15.

The square root of 2133003003 is about 46184.4454659791. The cubic root of 2133003003 is about 1287.2527322048.

Adding to 2133003003 its reverse (3003003312), we get a palindrome (5136006315).

The spelling of 2133003003 in words is "two billion, one hundred thirty-three million, three thousand, three".