Well if your arduino is drawing 1.3 amps at 5v then it is using 6.5 watts. However that 6.5 watts is for the whole circuit and your resistor doesn't need to be able to handle that it only needs to be of a high enough wattage to be able to handle the power it dissipates which would be the voltage drop across the resister multiplied by the current going through the resister. If you explain in more detail what you are doing with the resister I'm sure someone can help you further.