We do not store users' passwords nor private keys. Your private keys are encrypted with your Coinprism password before leaving your computer. It is then very important you backup your private keys. You can easily do this from the Settings tab > Export & backup wallet.
You have the option to download your encrypted or unencrypted wallet. If you download the encrypted wallet you'll need to remember your password to unencrypt it. If you download your unencrypted wallet be careful where you store it as anyone could access your Bitcoins and Colored Coins with it.