Trying to connect to a different MSSQL Server 2005 Database

I am trying to make a connection to a Solarwinds database stored in MSSQL 2005. Solarwinds is out network monitoring system, I want to be able to query the database for the status of a peice of equipment and set a tag based on that value. Myself and one of our DB admins both tried and are having no luck making a database connection… We keep receiving the same error:

Cannot create PoolableConnectionFactory (The TCP/IP connection to the host 10.4.16.33, port 1813 has failed. Error: "No buffer space available (maximum connections reached?): connect

Was hoping someone here might be able to point me in the right direction.

Thanks

EDIT Oh, and we can make a connection to the database using ODBC with no problems.