As simple as ABC

999×ABCDEF132 \begin{array} { l l l l l } & & & & & 9 & 9 & 9 \\ \times & & & & & A & B & C \\ \hline & & D & E & F & 1 & 3 & 2 \\ \end{array}

In this cryptogram, A,B,C,D,EA,B,C,D,E and FF are (not necessarily distinct) single digits. What is the value of A+B+C+D+E+F?A+B+C+D+E+F?

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