13028033 has 4 divisors (see below), whose sum is σ = 13380180. Its totient is φ = 12675888.

The previous prime is 13028027. The next prime is 13028123. The reversal of 13028033 is 33082031.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 33082031 = 47 ⋅703873.

It can be written as a sum of positive squares in 2 ways, for example, as 9314704 + 3713329 = 3052^2 + 1927^2 .

It is a cyclic number.

It is not a de Polignac number, because 13028033 - 2¹⁶ = 12962497 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13027996 and 13028014.

It is not an unprimeable number, because it can be changed into a prime (13028023) 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 3 ways as a sum of consecutive naturals, for example, 176018 + ... + 176091.

It is an arithmetic number, because the mean of its divisors is an integer number (3345045).

Almost surely, 2^13028033 is an apocalyptic number.

It is an amenable number.

13028033 is a deficient number, since it is larger than the sum of its proper divisors (352147).

13028033 is an equidigital number, since it uses as much as digits as its factorization.

13028033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352146.

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 13028033 is about 3609.4366596465. The cubic root of 13028033 is about 235.3023601635.

The spelling of 13028033 in words is "thirteen million, twenty-eight thousand, thirty-three".