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131231133317131 is a prime number
BaseRepresentation
bin11101110101101010100001…
…000101011011100000001011
3122012122120111022112202221221
4131311222201011123200023
5114200042330112122011
61143034430025342511
736433064551222111
oct3565524105334013
9565576438482857
10131231133317131
11388a58a1629281
1212875581037a37
13582c072c7c723
142459899463ab1
151028952625971
hex775aa115b80b

131231133317131 has 2 divisors, whose sum is σ = 131231133317132. Its totient is φ = 131231133317130.

The previous prime is 131231133317129. The next prime is 131231133317143. The reversal of 131231133317131 is 131713331132131.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 131231133317131 - 21 = 131231133317129 is a prime.

It is a super-2 number, since 2×1312311333171312 (a number of 29 digits) contains 22 as substring.

Together with 131231133317129, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (131231133917131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65615566658565 + 65615566658566.

It is an arithmetic number, because the mean of its divisors is an integer number (65615566658566).

Almost surely, 2131231133317131 is an apocalyptic number.

131231133317131 is a deficient number, since it is larger than the sum of its proper divisors (1).

131231133317131 is an equidigital number, since it uses as much as digits as its factorization.

131231133317131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10206, while the sum is 34.

Adding to 131231133317131 its reverse (131713331132131), we get a palindrome (262944464449262).

The spelling of 131231133317131 in words is "one hundred thirty-one trillion, two hundred thirty-one billion, one hundred thirty-three million, three hundred seventeen thousand, one hundred thirty-one".