Here's a list of all the parables:
Parables of Jesus Christ
Alert servants13:33-37Barren
fig tree13:6-9Bread of life6:31-38Budding fig tree24:32-3513:28-3221:29-33Children in
market11:16-197:31-35Christian light5:14-164:21-238:16-18Dinner guests14:15-24Divided kingdom12:24-303:22-2711:14-23Feast
invitations14:12-14Friend at midnight11:5-13Good Samaritan10:25-37Good shepherd10:1-18Great
physician9:10-132:15-175:29-32Grooms attendants9:14-152:18-205:33-35Growing
seed4:26-29Hidden treasure13:44Householder13:52Humbled guest14:7-11King's war plans14:31-33Laborers in vineyard20:1-16Landowner21:33-4612:1-1220:9-18Leaven13:3313:20-21Lost coin15:8-10Lost sheep15:4-7Marriage feast22:1-14Mustard seed13:31-324:30-3213:18-19Net of fish13:47-50New cloth9:162:215:36New
wine9:172:225:37-39Pearl of great
price13:45-46Pharisee and
tax collector18:9-14Prodigal son15:11-32
Rich man & Lazarus16:19-31Rich fool12:16-21Salt without taste5:139:5014:34-35Servant's duty17:7-10Sheep and goats25:31-46Sign of Jonah12:38-4211:29-32Tares in field (
part 1)13:24-30Tares in field (part 2)13:36-43Ten Minas19:11-27Ten talents25:14-30Ten virgins25:1-13The Sower (part 1)13:3-94:3-208:4-15The Sower (part 2)13:18-23Two debtors7:41-43Two sons21:28-32Unclean spirit12:43-4511:24-26Unjust judge18:1-8Unjust steward16:1-13Unmerciful servant18:21-35Unprepared
builder14:28-30Vine and branches15:1-17Watching servants12:35-40Wise builder7:24-276:47-49Wise servant24:45-51Wise steward12:42-48
The Parable of the rich man and Lazarus is on the list, so it's a parable.