13 in D major was written in 1763 for the orchestra of Haydn's patron, Prince Nikolaus Esterházy, in Eisenstadt.
A typical symphony at this time was written for a pair of oboes and horns and strings, but the Eisenstadt orchestra had recently taken on two new horn players, and Haydn wrote this symphony for an expanded ensemble of one flute, two oboes, four horns, timpani and strings (violins divided into firsts and seconds, violas, cellos and double basses), with bassoon doubling the bass-line.
However, there is little "second subject" to speak of – following the key change in the first half, the music is mainly based on simple scale passages.
The second movement, marked adagio cantabile (slowly, singing), in G major, features a solo cello playing a melody against simple chords from the rest of the strings.
In Haydn's day, the cello part would have been played by the principal cellist of the Eistenstadt orchestra, Joseph Franz Weigl.