131

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 $7$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 prime number after $7$, $17$, $19$, $23$, $29$, $47$, $59$, $61$, $97$, $109$, $113$ the period of whose reciprocal, when expressed in decimal notation, is of maximum length:
 * $\dfrac 1 {131} = 0 \cdotp \dot 00763 \, 35877 \, 86259 \, 54198 \, 47328 \, 24427 \, 48091 \, 60305 \, 34351 \, 14503 \, 81679 \, 38931 \, 29770 \, 99236 \, 64122 \, 13740 \, 45801 \, 52671 \, 75572 \, 51908 \, 39694 \, 65648 \, 85496 \, 18320 \, 61068 \, 7022 \dot 9$


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