Dominating the Schlossplatz is the massive Neues Schloss or New Palace.
The nearby Untertürkheim diesel engine factory is also open for tours, and the Porsche Museum, with its exquisite collection of more than 300 restored vehicles, is also worth a visit.
Built between 18, this beautiful structure, known locally as Grabkapelle, consists of a domed rotunda in Neoclassical style inspired by the Pantheon in Rome (it's also where Wilhelm himself is buried).
It's well worth the walk as you'll be rewarded with the city's most spectacular views.
Stuttgart has had a long love affair with the automobile, which can trace its roots as far back as 1887 when Gottlieb Daimler and Wilhelm Maybach set up shop here.
One of the highlights of any visit to the city must be the wonderful Mercedes-Benz Museum with its exhibits relating to the development of the automobile.
In the south wing is the 16th-century palace church where you'll find the tombs of famous former residents and royalty.