No SSHterm in CPanel. Lunarpages ran the commends for me:

root@server [~]# nslookup api.paypal.com
Server: 4.2.2.2
Address: 4.2.2.2#53

Non-authoritative answer:
Name: api.paypal.com
Address: 173.0.88.66
Name: api.paypal.com
Address: 173.0.88.98
Name: api.paypal.com
Address: 173.0.84.66
Name: api.paypal.com
Address: 173.0.84.98

root@server [~]# traceroute api.paypal.com
traceroute to api.paypal.com (173.0.84.98), 30 hops max, 40 byte packets
1 sd2.lunarpages.com (74.50.27.3) 1.156 ms 1.149 ms 1.137 ms
2 * * *
3 144.232.24.225 (144.232.24.225) 4.041 ms 144.232.25.105 (144.232.25.105) 3.996 ms *
4 * * *
5 * * *
6 * * *
7 * * *
8 sl-payp2-413771-0.sprintlink.net (144.232.191.210) 13.625 ms 13.756 ms 13.699 ms
9 * * *
10 * * *
11 * * *
12 * * *
13 * * *
14 * * *
15 * * *
16 * * *
17 * * *
18 * * *
19 * * *
20 * * *
21 * * *
22 * * *
23 * * *
24 * * *
25 * * *
26 * * *
27 * * *
28 * * *
29 * * *
30 * * *
root@server [~]#

root@server [~]# ping -c 3 api.paypal.com
PING api.paypal.com (173.0.84.98) 56(84) bytes of data.

--- api.paypal.com ping statistics ---
3 packets transmitted, 0 received, 100% packet loss, time 1999ms