The answer depends on the units used for 10x13. It should be obvious that the number will depend on whether the tiles are 10 cm x 13 cm or 10" x 13".
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Tiles that are two feet on a side cover 4 square feet. 378 of them cover 1512 square feet.
76.6 tiles
67 tiles.
You will need at least 67 tiles. This will cover 150.75 square feet.
157 18 by 18 tiles are needed to cover 352 square feet.