The definition of public and private IP numbers can be found at:
http://en.wikipedia.org/wiki/Private_network
Any address that is not in one of these ranges is public.
BTW, I think you have an error in the loopback device:
Loopback should be 127.0.0.1 with a netmask of 255.0.0.0
You are showing an address of 133.5.7.1 Mask:255.5.6.2
Second, in your wlan0 entry you have:
net addr:10.1.1.33 Bcast:11.1.1.293 Mask:242.242.242.0
No problem with net addr - but the broadcast appears wrong; it should be 10.1.1.255 (The first octet should match your net address; the last octet cannot be larger than 255 as it is an unsigned byte)
Now what you have may be working - but only because the netmask would be masking out the 11.1.1.xxx. Usually the netmask should be 10.255.255.255, but you may be subneting in which case other values would apply (but I'm pretty sure 242.242.242.0 is wrong even then).