33000013 has 4 divisors (see below), whose sum is σ = 33029788. Its totient is φ = 32970240.

The previous prime is 33000007. The next prime is 33000029. The reversal of 33000013 is 31000033.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 31000033 = 43 ⋅720931.

It can be written as a sum of positive squares in 2 ways, for example, as 10323369 + 22676644 = 3213^2 + 4762^2 .

It is a cyclic number.

It is not a de Polignac number, because 33000013 - 2⁹ = 32999501 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 (33000083) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13158 + ... + 15463.

It is an arithmetic number, because the mean of its divisors is an integer number (8257447).

Almost surely, 2^33000013 is an apocalyptic number.

It is an amenable number.

33000013 is a deficient number, since it is larger than the sum of its proper divisors (29775).

33000013 is a wasteful number, since it uses less digits than its factorization.

33000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29774.

The product of its (nonzero) digits is 27, while the sum is 10.

The square root of 33000013 is about 5744.5637780427. The cubic root of 33000013 is about 320.7534751187.

Adding to 33000013 its reverse (31000033), we get a palindrome (64000046).

The spelling of 33000013 in words is "thirty-three million, thirteen", and thus it is an aban number and an uban number.