2002133033103 has 64 divisors (see below), whose sum is σ = 3346931266560. Its totient is φ = 1038026852352.

The previous prime is 2002133033093. The next prime is 2002133033119. The reversal of 2002133033103 is 3013303312002.

It is not a de Polignac number, because 2002133033103 - 2⁹ = 2002133032591 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 2002133033103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002133033003) 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 63 ways as a sum of consecutive naturals, for example, 6506601 + ... + 6807357.

It is an arithmetic number, because the mean of its divisors is an integer number (52295801040).

Almost surely, 2^{2002133033103} is an apocalyptic number.

2002133033103 is a deficient number, since it is larger than the sum of its proper divisors (1344798233457).

2002133033103 is a wasteful number, since it uses less digits than its factorization.

2002133033103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301456.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 2002133033103 its reverse (3013303312002), we get a palindrome (5015436345105).

The spelling of 2002133033103 in words is "two trillion, two billion, one hundred thirty-three million, thirty-three thousand, one hundred three".