[seqfan] Smallest emirp with emirp number of digits and emirp digital sum

[Jonathan Post]

Is 1000000004161 the smallest emirp (A006567)  with emirp number of
digits and emirp digital sum?
It is prime, its reversal 1614000000001 is prime, it has a prime  13
digits, R(13) = 31 is prime, and the
sum of digits 1+6+1+4+0+0+0+0+0+0+0+0+1 = 13 is prime (and reversed is
again the prime 31).

Or did I miss a smaller example in my sloppy by-hand search?

For people who hate the word "emirp" this may be the worst seq yet
encountered .. this an the 2nd smallest, 3rd smallest, etc.