33013 has 2 divisors, whose sum is σ = 33014. Its totient is φ = 33012.

The previous prime is 32999. The next prime is 33023. The reversal of 33013 is 31033.

It is a happy number.

It is an a-pointer prime, because the next prime (33023) can be obtained adding 33013 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23409 + 9604 = 153^2 + 98^2 .

It is an emirp because it is prime and its reverse (31033) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33013 - 2¹³ = 24821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16506 + 16507.

It is an arithmetic number, because the mean of its divisors is an integer number (16507).

2³³⁰¹³ is an apocalyptic number.

It is an amenable number.

33013 is a deficient number, since it is larger than the sum of its proper divisors (1).

33013 is an equidigital number, since it uses as much as digits as its factorization.

33013 is an odious number, because the sum of its binary digits is odd.

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

The square root of 33013 is about 181.6947990450. The cubic root of 33013 is about 32.0795546608.

Adding to 33013 its reverse (31033), we get a palindrome (64046).

It can be divided in two parts, 330 and 13, that added together give a palindrome (343).

The spelling of 33013 in words is "thirty-three thousand, thirteen".