13220033 has 8 divisors (see below), whose sum is σ = 14143752. Its totient is φ = 12312576.

The previous prime is 13220023. The next prime is 13220041. The reversal of 13220033 is 33002231.

It can be written as a sum of positive squares in 4 ways, for example, as 3659569 + 9560464 = 1913^2 + 3092^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13220033 - 2⁸ = 13219777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13220003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2360 + ... + 5657.

It is an arithmetic number, because the mean of its divisors is an integer number (1767969).

Almost surely, 2^13220033 is an apocalyptic number.

It is an amenable number.

13220033 is a deficient number, since it is larger than the sum of its proper divisors (923719).

13220033 is an equidigital number, since it uses as much as digits as its factorization.

13220033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8131.

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

The square root of 13220033 is about 3635.9363305757. The cubic root of 13220033 is about 236.4526467835.

Adding to 13220033 its reverse (33002231), we get a palindrome (46222264).

The spelling of 13220033 in words is "thirteen million, two hundred twenty thousand, thirty-three".