11

This number is a prime.

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The only known palindromic Wagstaff prime. Note that it creates as exponent another Wagstaff prime. [Loungrides]

The largest of only two non-titanic primes of form p^(p-1)+(p-1), for p a prime (case p=3). The other is 3. [Loungrides]

The only non-titanic prime of form x^(x-1)+2. [Loungrides]

The largest prime of form 1!+2!+ … +n!+2, (n=3). Note that every other number of this form, for n > 3, ends with 5. [Loungrides]

2^1+3^2 is the only non-titanic prime of form p^(p-1)+q^(q-1)+r^(r-1)+s^(s-1)+..., where (p, q, r, s, ...) is the sequence of the first consecutive primes. [Loungrides]