First numbers that belong to both sets:
23,
61,
1123,
1231,
1321,
2111,
2131,
11261,
11621,
12113,
13121,
15121,
19121,
21911,
22511,
27211,
61211,
116113,
131231,
312161,
611113,
1111211,
1111213,
1111361,
1112611,
1123151,
1411411,
1612111,
2111411,
2121131,
3112111,
3116111,
3221111,
4121113,
9111341,
11113321,
11132123,
11264111,
11314111,
11316211,
11361211,
11413111,
11611121,
11922121,
12111163,
12111313,
12111331,
13121117,
14111131,
14111311,
19122211,
23311111,
61114211,
111111163,
111131213,
111219211,
111316111,
111611113,
112121213,
114131141,
115121311,
116112131,
119112113,
121115311,
121151341,
121235111,
131121131,
131211181,
131261111,
136211111,
163111111,
211121213,
213111131,
311221111,
316111111,
411221311,
1111126111,
1111131821,
1111211113,
1111211161,
1111214123,
1111231111,
1111231151,
1112111911,
1112312321,
1113114421,
1116111151,
1116124111,
1117122113,
1119413111,
1121111531,
1121611411,
1123131511,
1135411111,
1161111113,
1211311111,
1211711131,
1212232111,
1231112111,
1232111161,
1312111111,
1312213121,
1321141121,
2112116131,
2112311141,
2115911111,
2191111121,
2232113111,
3111111121,
4111231211,
4111311131,
4223111111,
6121118111,
11111112191,
11111113261,
11111211491,
11111219111,
11111231321,
11111383111,
11112111191,
11112119111,
11112311113,
11112313111,
11112911111,
11113213211,
11121142231,
11121231151,
11126111111,
11126111131,
11126221111,
11141112431,
11151122119,
11153112121,
11161111211,
11161211111,
11161312111,
11211121123,
11212111213,
11213112611,
11231161111,
11311111261,
11311112611,
11311312141,
11321112113,
11611411121,
12111121223,
12112111331,
12113312111,
12121432111,
12123116111,
12132131111,
12141111611,
12211113221,
12211212161,
12212111113,
12219121111,
12331112111,
12641111111,
13113211411,
13131111211,
13218112111,
13411112311,
14111111153,
16111121113,
16111121311,
16111211131,
16115111113,
16212111121,
17121311111,
21111111143,
21111113251,
21111116311,
21111321611,
21112321211,
21113111213,
21113131141,
21131311511,
21132113111,
21161111141,
21211211123,
21212132111,
21213111131,
22121121311,
22122111311,
22123111121,
23113111211,
23123111311,
31111221611,
31121312111,
31211121131,
31411113121,
32111121113,
41134111111,
41141311121,
43112311111,
51211113131,
53122111111,
61511111111,
73111111211,
91141111211,
111111115123,
111111116117,
111111123121,
111111133121,
111111212131,
111111322111,
111111491111,
111111811123,
111113132111,
111113611211,
111114111133,
111114132121,
111116121131,
111121112213,
111121115311,
111121311151,
111122113241,
111129112111,
111131212111,
111131222131,
111132118121,
111132221311,
111141312211,
111152111311,
111161111311,
111161125111,
111211231111,
111211921211,
111212313211,
111214113211,
111221111621,
111221131111,
111242131111,
111311112113,
111311511121,
111321121111,
111331211111,
111621111131,
112112111621,
112131113221,
112131121231,
112131161111,
112211211113,
112311115121,
112511311111,
112611111331,
112911111113,
113112421111,
113114113121,
113121111613,
113211132211,
113221111111,
113221121311,
113612111111,
114111212113,
114121311131,
114211131121,
114622111111,
121113412111,
121121112191,
121121161121,
121151111131,
121152111131,
121191111211,
121311151111,
123111111181,
123112111411,
123114131111,
126111121211,
131111211151,
131112112231,
131113221121,
131115211111,
131121811111,
131151211111,
131213111111,
131222111131,
131231111111,
131311711211,
133111111121.
Some larger examples :
311215511111,
311411121121,
312111211141,
312211111111,
321111111131,
321111211111,
411112112113,
411131122111,
411511213111,
413212121111,
413311111121,
421111311121,
441111111131,
511112112131,
511112131111,
511211311111,
611121111143,
611153111111,
613511111111,
711611111111.