In order to figure this out, you will need to get the data card that came with the car when built. These are available from MB. There is a specific section in the Technical Manual that details how you go about getting the card, and a detailed explanation of what all the numbers mean, where they are located on the car, etc.
The VIN indicates a car made in left hand drive, manual transmission
113 - type
044 - for 280 SL
1 - left hand drive
0 - manual transmission
011553 sequential body number (from the tables in the manual, produced sometime in June-July 1969.)
The engine, VIN, and transmission numbers are all in their own sequence and would not be expected to match each other.