I'm not sure what you mean by penny rim.
If you mean it is smooth and has no reeding, that's 99.999% certain to be due to wear on a 32-year-old coin, or from someone filing off the reeds.
If you mean that it is copper color, did you ever look at any other dimes in your pocket? ALL dimes, quarters, and halves are struck on "sandwich" blanks that have a copper core.
Either way, you have an ordinary coin worth face value only.
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The U.S. never minted a silver penny. It would have more than a dime's worth of silver in it. Your coin has been plated.
A dime is worth 10 pennies. A dime is worth 1/10 of a dollar.
A penny is one tenth of a dime.
It's a novelty coin, manufactured for the close-up magic crowd. You can purchase them from novelty shops and there is no special value. If you look closely at the dime side you should notice a small line where a dime was inserted into a hollowed out penny. Post a picture somewhere I want to see...
A penny minted in 2013 is worth a penny, or 1 cent.