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 $9$ except one, which is $1$.

That is:
 * $1357 \left({9}\right)_{3821}$

where $\left({a}\right)_b$ means $b$ instances of $a$ in a string.

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

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