33032013 has 16 divisors (see below), whose sum is σ = 52984320. Its totient is φ = 17881776.

The previous prime is 33031991. The next prime is 33032017. The reversal of 33032013 is 31023033.

It is not a de Polignac number, because 33032013 - 2⁵ = 33031981 is a prime.

It is a super-2 number, since 2×33032013² = 2182227765664338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33031983 and 33032001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33032017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40995 + ... + 41792.

It is an arithmetic number, because the mean of its divisors is an integer number (3311520).

Almost surely, 2^33032013 is an apocalyptic number.

It is an amenable number.

33032013 is a deficient number, since it is larger than the sum of its proper divisors (19952307).

33032013 is a wasteful number, since it uses less digits than its factorization.

33032013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82816.

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

The square root of 33032013 is about 5747.3483451066. The cubic root of 33032013 is about 320.8571194748.

Adding to 33032013 its reverse (31023033), we get a palindrome (64055046).

The spelling of 33032013 in words is "thirty-three million, thirty-two thousand, thirteen".