There is no bank routing number for the 'Go Direct' prepaid Direct Express card. The card is issued to make sure that people receiving federal benefits who do not have a bank or credit union account can receive their benefit payment electronically. With the card you are able to get money from the ATM, pay bills online and buy a money order at USPS, but there is no bank where an account was opened so there is no bank information.
If you already have a bank account and you are asking how to receive your benefits by direct deposit, begin here http://www.godirect.gov/gpw/Signup.gd
To find your bank routing number for your checking account, look at the bottom of your checks. It will be beside your account number.
The routing number for your savings account should be in your passbook
You might be able to find them online by searching the bank's website or using a free routing guide online like this one:
Call your bank's customer care line if you still can't find it.