33220013 has 2 divisors, whose sum is σ = 33220014. Its totient is φ = 33220012.

The previous prime is 33220001. The next prime is 33220049. The reversal of 33220013 is 31002233.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16752649 + 16467364 = 4093^2 + 4058^2 .

It is an emirp because it is prime and its reverse (31002233) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-33220013 is a prime.

It is a super-2 number, since 2×33220013² = 2207138527440338, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33220013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33220093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16610006 + 16610007.

It is an arithmetic number, because the mean of its divisors is an integer number (16610007).

Almost surely, 2^33220013 is an apocalyptic number.

It is an amenable number.

33220013 is a deficient number, since it is larger than the sum of its proper divisors (1).

33220013 is an equidigital number, since it uses as much as digits as its factorization.

33220013 is an odious number, because the sum of its binary digits is odd.

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

The square root of 33220013 is about 5763.6805081475. The cubic root of 33220013 is about 321.4646822122.

Adding to 33220013 its reverse (31002233), we get a palindrome (64222246).

The spelling of 33220013 in words is "thirty-three million, two hundred twenty thousand, thirteen".