Why doesn't Katy have a WW #1 album in the last 4 years?
Using mediatraffic's global album chart, Katy hasn't scored a WW #1 album in the last 4 years (=last 208 weeks, so from week 41 in 2010, to week 41 in 2014).
For example, her peers Rihanna and Gaga (who's #1 this week with Grammys2Grammys) have scored three WW #1 albums in that timeframe, so why hasn't Katy (scored a single one)?
We all know her opening sales for Teenage Dream weren't great and PRISM came the same week as a massive K-Pop/J-Pop release that blocked it.
Not that it matters much, the OP proves that having a WW #1 album doesn't secure the kind of album success Katy has enjoyed anyway