While reading manual of Mondrian I found that it has not so much types including Integer and Numeric - what's difference between this types?
And how can I use timestamp level type?
Well, Integer type can contain only whole numbers, like 5 or 123. Numeric type can contain decimal numbers like 15.39.
About the second question: I think you're asking about Time dimensions, not the Timestamp (which is type). In this case it's better to refer the Mondrian documentation:
http://mondrian.pentaho.com/documentation/schema.php#Time_dimensions