First numbers that belong to both sets:
1,
4,
8,
9,
121,
343,
484,
676,
1331,
10201,
12321,
14641,
36963,
40804,
44944,
69696,
94249,
698896,
1002001,
1030301,
1234321,
1367631,
2138312,
2177712,
2365632,
3498943,
4008004,
5221225,
6948496,
11022011,
13577531,
44088044,
100020001,
102030201,
104060401,
121242121,
123454321,
124666421,
125686521,
157838751,
291080192,
306090603,
343686343,
400080004,
404090404,
442515244,
522808225,
617323716,
942060249,
1003003001,
1333663331,
10000200001,
10221412201,
10662526601,
11033033011,
11325352311,
12102420121,
12345654321,
29956665992,
31275457213,
34306860343,
40000800004,
72783738727,
88484148488,
110002200011,
112435534211,
121363363121,
133126621331,
297738837792,
440008800044,
637832238736,
1000002000001,
1000300030001,
1002003002001,
1004006004001,
1020304030201,
1022325232201,
1024348434201,
1030607060301,
1032362632301,
1086078706801,
1123454543211,
1210024200121,
1212225222121,
1214428244121,
1230127210321,
1232346432321,
1234567654321,
1334996994331,
1615108015161,
3006009006003,
3430068600343,
4000008000004,
4004009004004,
4051154511504,
5265533355625,
6147692967416,
9420645460249,
10231633613201,
11044066044011,
11355988955311,
12357999975321,
13310266201331,
40516277261504,
100000020000001,
100220141022001,
101000202000101,
102012040210201,
102234363432201,
103050707050301,
112547969745211,
121000242000121,
121036303630121,
121242363242121,
123212464212321,
123456787654321,
123862676268321,
144678292876441,
165551171155561,
177731767137771,
270572232275072,
343000686000343,
400000080000004,
404000808000404,
880015525510088,
900075181570009.