An interleukin receptor subtype found on both hematopoietic and non-hematopoietic cells. It is a membrane-bound heterodimer that contains the $INTERLEUKIN-$4 RECEPTOR ALPHA SUBUNIT and the $INTERLEUKIN-$13 RECEPTOR ALPHA1 SUBUNIT. Although commonly referred to as the interleukin-4 type-II receptor this receptor has specificity for both $INTERLEUKIN-$4 and $INTERLEUKIN-$13.