131

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Number

$131$ (one hundred and thirty-one) is:

The $32$nd prime number

The $2$nd positive integer after $61$ whose reciprocal, when expressed in decimal notation, contains an equal number ($13$) of each of the digits from $0$ to $9$:

$\dfrac 1 {131} = 0 \cdotp \dot 00763 \, 35877 \, 86259 \, 54198 \, 47328 \, 24427 \, 48091 \, 60305 \, 34351 \, 14503 \, 81679 \, 38931 \, 29770 \, 99236 \, 64122 \, 13740 \, 45801 \, 52671 \, 75572 \, 51908 \, 39694 \, 65648 \, 85496 \, 18320 \, 61068 \, 7022 \dot 9$

The $3$rd near-repdigit prime after $101$, $113$

The $7$th palindromic prime after $2$, $3$, $5$, $7$, $11$, $101$

The $12$th Sophie Germain prime after $2$, $3$, $5$, $11$, $23$, $29$, $41$, $53$, $83$, $89$, $113$:

$2 \times 131 + 1 = 263$, which is prime

The $12$th long period prime after $7$, $17$, $19$, $23$, $29$, $47$, $59$, $61$, $97$, $109$, $113$:

$\dfrac 1 {131} = 0 \cdotp \dot 00763 \, 35877 \, 86259 \, 54198 \, 47328 \, 24427 \, 48091 \, 60305 \, 34351 \, 14503 \, 81679 \, 38931 \, 29770 \, 99236 \, 64122 \, 13740 \, 45801 \, 52671 \, 75572 \, 51908 \, 39694 \, 65648 \, 85496 \, 18320 \, 61068 \, 7022 \dot 9$

The $15$th permutable prime after $2$, $3$, $5$, $7$, $11$, $13$, $17$, $31$, $37$, $71$, $73$, $79$, $97$, $113$

Also see

• Previous  ... Next: Reciprocals whose Decimal Expansion contain Equal Numbers of Digits from 0 to 9

• Previous  ... Next: Palindromic Prime

• Previous  ... Next: Long Period Prime
• Previous  ... Next: Near-Repdigit Prime
• Previous  ... Next: Sophie Germain Prime
• Previous  ... Next: Permutable Prime

• Previous  ... Next: Prime Number