diff --git a/common/math.mk b/common/math.mk
index ecee474..829ceb5 100644
--- a/common/math.mk
+++ b/common/math.mk
@@ -315,8 +315,9 @@
 $(call math-expect,(call numbers_greater_or_equal_to,0,0 2 1 3),0 2 1 3)
 $(call math-expect,(call numbers_greater_or_equal_to,1,0 2 1 3 2),2 1 3 2)
 
-_INT_LIMIT_WORDS := $(foreach a,x x,$(foreach b,x x x x x x x x x x x x x x x x,\
-  $(foreach c,x x x x x x x x x x x x x x x x,x x x x x x x x x x x x x x x x)))
+# 10,001 = 10 ** 4 + 1, contains 10,001 x's, so 1 more than 10,000 (future) API level
+_INT_LIMIT_WORDS := x $(foreach a,0 1 2 3 4 5 6 7 8 9,$(foreach b,0 1 2 3 4 5 6 7 8 9,\
+  $(foreach c,0 1 2 3 4 5 6 7 8 9,x x x x x x x x x x)))
 
 define _int_encode
 $(if $(filter $(words x $(_INT_LIMIT_WORDS)),$(words $(wordlist 1,$(1),x $(_INT_LIMIT_WORDS)))),\
diff --git a/core/product_config.mk b/core/product_config.mk
index f939690..8dc175a 100644
--- a/core/product_config.mk
+++ b/core/product_config.mk
@@ -405,6 +405,10 @@
   TARGET_AAPT_CHARACTERISTICS := $(PRODUCT_CHARACTERISTICS)
 endif
 
+ifndef PRODUCT_SHIPPING_API_LEVEL
+  PRODUCT_SHIPPING_API_LEVEL := 10000
+endif
+
 ifdef PRODUCT_DEFAULT_DEV_CERTIFICATE
   ifneq (1,$(words $(PRODUCT_DEFAULT_DEV_CERTIFICATE)))
     $(error PRODUCT_DEFAULT_DEV_CERTIFICATE='$(PRODUCT_DEFAULT_DEV_CERTIFICATE)', \