Translation:How many universities are there in Finland?
It's a dummy subject. It's easier to recognise it as such when you turn it from a question to a statement: "There are [some number] universities in Finland". The Finnish translation would not begin with "siellä" because Finnish doesn't use dummy subjects so there is no possible translation for them.
Not really any need to require there, its perfectly understood to say how many universities are in Finland
I think there's 14, but I guess it depends on how you count, i.e. what institutions do you consider to be universities (is "Maanpuolustuskorkeakoulu" an actual university or not?).
The 13 Kristian was probably thinking of: Helsingin yliopisto, Taideyliopisto, Svenska handelshögskolan (Hanken), Aalto-yliopisto, Åbo Akademi, Turun yliopisto, LUT-yliopisto, Tampereen yliopisto, Itä-Suomen yliopisto, Jyväskylän yliopisto, Vaasan yliopisto, Oulun yliopisto, Lapin yliopisto
Monta, despite having a plural meaning, is grammatically partitive singular. So when you use monta, the following noun also needs to be partitive singular, yliopistoa.
If nominative plural monet were being used, then you would need yliopistot. And in nominative singular, moni yliopisto.