First, I'm the largest.
Second, I'm lucky.
Third, I'm quite similar to infinity.
Fourth, I'm nothing.
Fifth, I'm lucky.
Sixth, I'm half of Third.
Seventh, I'm lucky.
Eighth, I'm like the Chinese elements.
Ninth, I'm like the musketeers.
Tenth, I'm both.
Eleventh, I'm lucky.
Twelfth, I'm half of Third.
Thirteenth, I'm like the musketeers.
Google, and you shall find me.
What am I?