33002131132103 has 24 divisors (see below), whose sum is σ = 38916968528880. Its totient is φ = 27899437668480.

The previous prime is 33002131132081. The next prime is 33002131132123. The reversal of 33002131132103 is 30123113120033.

It is not a de Polignac number, because 33002131132103 - 2⁴⁴ = 15409945087687 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33002131132123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 261383393 + ... + 261509621.

It is an arithmetic number, because the mean of its divisors is an integer number (1621540355370).

Almost surely, 2^{33002131132103} is an apocalyptic number.

33002131132103 is a deficient number, since it is larger than the sum of its proper divisors (5914837396777).

33002131132103 is a wasteful number, since it uses less digits than its factorization.

33002131132103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199407 (or 199400 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 33002131132103 its reverse (30123113120033), we get a palindrome (63125244252136).

The spelling of 33002131132103 in words is "thirty-three trillion, two billion, one hundred thirty-one million, one hundred thirty-two thousand, one hundred three".