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