At lot of the extra cost comes with higher precision, which is sort of a feature? Then you get data logging and in some cases graphical displays - for me being able to plot a chart of the measurement over time has been incredibly useful, especially when trying to find intermittent faults or trying to monitor multiple instruments at once.
Then some of the price is extra protections, wider ranges, better environmental stability, or a bit of a brand name premium. It can creep in from all over, but I'd say a lot of it is just raw accuracy and resolution - if you want 5.5+ digits, you need to have better designers, more custom designs, higher stability components, and more expensive references.