In mathematics, a vampire number is a composite natural number $v$, with an even number of digits $n$, that can be factored into two integers $x$ and $y$ each with $n/2$ digits and not both with trailing zeroes, where $v$ contains precisely all the digits from $x$ and from $y$, in any order, counting multiplicity. $x$ and $y$ are called the fangs, e.g. $1260= 21\times60$.

A prime vampire number is a vampire number whose fangs are its prime factors. $117067 = 167\times701$ is the first prime vampire number. Calculate the 27th prime vampire number.