This number is a prime.

+ 1013 Productions is the company owned and managed by Chris Carter, who created The X-Files. [Blanchette]

+ There are exactly 1013 ways ten people can line up so that only one person has a taller person in front of him. [Gudipati]

+ A free neutron decays with a half-life of about 1013 seconds into a proton, electron and antineutrino. [Hughes]

+ The average sea-level pressure on Earth is about 1013 millibars. [Webb]

+ 21013 + 31013 + 51013 + 71013 is prime. [Opao]

+ The prime sum of p(i), where i takes the values of the 11 first Fibonacci numbers. [Gallardo]

+ In Marcus du Sautoy's book The Music of the Primes, while discussing Bertrand's postulate, he states that there are actually quite a lot of primes between 1009 and 2018, the first being 1013.

+ Virginia Intermont College (alma mater of one of the authors) was located at the triadic prime address 1013 Moore Street in Bristol, Virginia.

+ Government 1013: A course in the Department of Government, Harvard University. Taught in Spring 2012, by Patrick Moynihan. [Green]

+ The smallest 4-digit prime p whose the reversal of square is equal to the square of the reversal of p, i.e., 1013^2 = 1026169 and R(1013^2) = 9616201 = 3101^2. [Loungrides]

+ The smallest four-digit antipalindromic prime: prime with an even number of digits such that the digits in the first half of the prime differ from the corresponding digits of the second half. [Wesolowski]

+ 1013 is the smallest 4-digit prime that starts a run of seven consecutive primes where between any two successive primes, exactly one digit changes (i.e., 1013, 1019, 1021, 1031, 1033, 1039, 1049). Can you find a run of more than seven consecutive primes where between any two successive primes exactly one digit changes? [Loungrides]

+ The five prime anagrams of 1013 all have squares that are anagrams of each other. [Gaydos]

+ The smallest positive integer for which its number of prime anagrams equals its sum of digits. [Gaydos]

+ The smallest prime number of the form 24k+5 which does not have 2 as a primitive root. [Nie]

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