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Ilinykh/Katsalapov finished 9th at the 2013 World Championships.
Ilinykh/Katsalapov's first assignment of the 2013–14 Grand Prix season was the 2013 NHK Trophy where they placed fourth.
They placed second in the segment and won the silver medal.
They qualified for the 2012 Grand Prix Final in Sochi, Russia, and finished sixth at the event.
At the 2013 Russian Championships, Ilinykh/Katsalapov won the silver medal behind defending national champions Ekaterina Bobrova / Dmitri Soloviev.
They won silver at their first 2012–13 Grand Prix event, the 2012 Rostelecom Cup.
At the 2012 NHK Trophy, Ilinykh/Katsalapov were third after the short dance.