Replacing the air cleaners on 2005-2012 BMW will improve throttle responce,  increase induction sound, improve HP - While reducing fuel cost.

K1200/K1300 Air Filter, Part BM-1205 Spec
Product Style: Unique Air Filters
Filter Material: Cotton Gauze
Flanges: None
Height: 4.563 in (116 mm)
Weight: 1.6 lb (0.7 kg)

Cross reference KN Filter BM-1205
BMW 13717672602
BMW 13717703583
BMW 13717672602
BMC 43901
BMC FM43901
BMC FM56908

K&N BM-1205 fits the following:
2016 BMW K1300S 1300 - All (2 required)
2015 BMW K1300R 1300 - All
2015 BMW K1300S 1300 - All (2 required)
2014 BMW K1300R 1300 - All
2014 BMW K1300S 1300 - All (2 required)
2013 BMW K1300R 1300 - All
2013 BMW K1300S 1300 - All (2 required)
2013 BMW K1300S 30 Jahre K-Modelle 1300 - All (2 required)
2012 BMW K1300R 1300 - All
2012 BMW K1300S 1300 - All (2 required)
2011 BMW K1300GT 1300 - All
2011 BMW K1300R 1300 - All
2011 BMW K1300S 1300 - All (2 required)
2010 BMW K1300GT 1300 - All
2010 BMW K1300GT SE 1300 - All
2010 BMW K1300R 1300 - All
2010 BMW K1300S 1300 - All (2 required)
2009 BMW K1300GT 1300 - All
2009 BMW K1300R 1300 - All
2009 BMW K1300S 1300 - All (2 required)
2008 BMW K1200GT 1157 - All
2008 BMW K1200R 1171 - All
2008 BMW K1200R Sport 1171 - All
2008 BMW K1200S 1157 - All (2 required)
2007 BMW K1200GT 1157 - All
2007 BMW K1200R 1200 - All
2007 BMW K1200R Sport 1157 - All
2007 BMW K1200S 1157 - All (2 required)
2006 BMW K1200GT 1157 - All
2006 BMW K1200R 1200 - All
2006 BMW K1200S 1157 - All (2 required)
2005 BMW K1200R 1200 - All
2005 BMW K1200S 1157 - All (2 required)