33013022002013 has 16 divisors (see below), whose sum is σ = 33163960467456. Its totient is φ = 32862359799360.

The previous prime is 33013022001979. The next prime is 33013022002039. The reversal of 33013022002013 is 31020022031033.

It is a cyclic number.

It is not a de Polignac number, because 33013022002013 - 2¹⁸ = 33013021739869 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 (33013022002043) 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 15 ways as a sum of consecutive naturals, for example, 1535264420 + ... + 1535285922.

It is an arithmetic number, because the mean of its divisors is an integer number (2072747529216).

Almost surely, 2^{33013022002013} is an apocalyptic number.

It is an amenable number.

33013022002013 is a deficient number, since it is larger than the sum of its proper divisors (150938465443).

33013022002013 is a wasteful number, since it uses less digits than its factorization.

33013022002013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27604.

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 33013022002013 its reverse (31020022031033), we get a palindrome (64033044033046).

The spelling of 33013022002013 in words is "thirty-three trillion, thirteen billion, twenty-two million, two thousand, thirteen".