It also has an output below the dust threshold which means most nodes and miners will simply drop this tx as invalid. Did you create this tx? It shouldn't be possible to create a tx like this using the reference client (or one which follows similar rules).
If you send a tx without fees (and less than min for low priority tx is essentially zero) then you are relying on the generosity of miners to include it when they can.
If you create a non-standard tx then all bets are off. It may never get relayed by anyone to any miner or one or more miners may simply drop it from the memory pool.
In hindsight blockchain.info already said essentially the same thing