Titanic Prime whose Digits are all Odd

Theorem
The integer defined as:


 * $1358 \times 10^{3821} - 1$

is a titanic prime all of whose digits are odd.

That is:
 * $1357 \paren 9_{3821}$

where $\paren a_b$ means $b$ instances of $a$ in a string.

Proof
It is clear that the digits are all instances of $9$ except for the initial $1357$, all of which are odd.

It is also noted that it has $4 + 3821 = 3825$ digits, making it titanic.