113 showing a closed is GOOD
It means it has been forwarded from ther router to the pc (assuming you forwarded it to the right pc), it simply means nothing is responding to the hail on 113, but the hail was recieved.
Stealth means the hail was not even (apparently) received (which normally means its not forwarded in the router)
Your specific reasons for not connecting im unsure on, but port 113 is used it ident from mirc, u need to check if the IDENT server under options is enabled.
This server/device simply replies to a hail from the irc server your conencting to and says , yeah yeah that me, and the irc server normally taks the ~ of your address which is in the format nick!~ident@address.com so it becomes nick!ident@address.com, most irc servers that dont get a ident responce from you, just conenct u anyway after around 20 seconds.
If you cant even start getting connected , sounds like you might have an outbound port blocked, or you ned to flush the dns cache, do do the second is simple windows > start > run > IPCONFIG /flushDNS > OK
