No results from traceid from sys.fn_trace_getinfo(0);
It looks like you have no traces running on your server.   

The function mentioned in your post title is:

SELECT * FROM sys.fn_trace_getinfo(0)


Using either a 0 or a NULL as the parameter will produce a listing of all running traces.  That list could look like this:

traceid property    value
1   1   2
1   2   D:\MSSQL10_50.MSSQLSERVER\MSSQL\Log\log_6215.trc
1   3   20
1   4   NULL
1   5   1
2   1   1
2   2   NULL
2   3   NULL
2   4   NULL
2   5   1


However, if you use another traceid it will only show the description rows for that trace. (Or no values if the traceid is invalid.)

The other function that you show was: 

SELECT DISTINCT(eventid) FROM sys.fn_trace_geteventinfo(#);


Using a traceid, this will produce a list of event ids for the traceid.  An invalid traceid will return no rows.

Since you are not getting any return on your queries, then there should be no traces running.