33020000213 has 12 divisors (see below), whose sum is σ = 34243329060. Its totient is φ = 31802512896.

The previous prime is 33020000171. The next prime is 33020000227. The reversal of 33020000213 is 31200002033.

It can be written as a sum of positive squares in 6 ways, for example, as 1222691089 + 31797309124 = 34967^2 + 178318^2 .

It is not a de Polignac number, because 33020000213 - 2¹² = 33019996117 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33020000263) 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 11 ways as a sum of consecutive naturals, for example, 5434145 + ... + 5440217.

It is an arithmetic number, because the mean of its divisors is an integer number (2853610755).

Almost surely, 2^33020000213 is an apocalyptic number.

It is an amenable number.

33020000213 is a deficient number, since it is larger than the sum of its proper divisors (1223328847).

33020000213 is an frugal number, since it uses more digits than its factorization.

33020000213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6968 (or 6535 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 33020000213 its reverse (31200002033), we get a palindrome (64220002246).

The spelling of 33020000213 in words is "thirty-three billion, twenty million, two hundred thirteen", and thus it is an aban number.