The work is also sometimes known by the nickname "Gassenhauer Trio". This arose from its third movement which contains nine variations on a theme from the then popular dramma giocosoL'amor marinaro ossia Il corsaro (15 October 1797, Wiener Hoftheater) by Joseph Weigl. This particular melody, "Pria ch'io l'impegno" ("Before I go to work"), was so popular it could be heard in many of Vienna's lanes ("Gasse" in German). A "Gassenhauer" usually denotes a (normally simple) tune that many people (in the Gassen) have taken up and sing or whistle for themselves, the tune as such having become rather independent from its compositional origins. A rare word in contemporary German, rough modern equivalents of the term include "hit" (success) or "schlager". Other composers who used this melody include Joseph von Eybler, Johann Nepomuk Hummel and Niccolò Paganini.
Because of its unique scoring in Beethoven's output, there is some uncertainty as to whether to include it in the ordinal numbering of Beethoven's piano trios. Some assign it "No. 4" between the Op. 1 and Op. 70 sets while others leave the work out of the numbering.