Long Period Prime/Examples/131

Theorem
The prime number $131$ is a long period prime:
 * $\dfrac 1 {131} = 0 \cdotp \dot 00763 \, 35877 \, 86259 \, 54198 \, 47328 \, 24427 \, 48091 \, 60305 \, 34351 \, 14503 \, 81679 \, 38931 \, 29770 \, 99236 \, 64122 \, 13740 \, 45801 \, 52671 \, 75572 \, 51908 \, 39694 \, 65648 \, 85496 \, 18320 \, 61068 \, 7022 \dot 9$

It also contains an equal number ($13$) of each of the digits from $0$ to $9$.

Proof
From Reciprocal of $131$:

Counting the digits, it is seen that this has a period of recurrence of $130$.

Inspecting the expansion and counting the digits, we find that each one appears exactly $13$ times.

Hence the result.