Search a number
-
+
131101322031019 is a prime number
BaseRepresentation
bin11101110011110001100111…
…101110101010111110101011
3122012012011102112201012010101
4131303301213232222332223
5114140431001414443034
61142455041011130231
736420520655415034
oct3563614756527653
9565164375635111
10131101322031019
113885583853373a
12128543935a3977
13581ca56210122
1424534a307da8b
1510253a613c514
hex773c67baafab

131101322031019 has 2 divisors, whose sum is σ = 131101322031020. Its totient is φ = 131101322031018.

The previous prime is 131101322030989. The next prime is 131101322031091. The reversal of 131101322031019 is 910130223101131.

Together with next prime (131101322031091) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It is an emirp because it is prime and its reverse (910130223101131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131101322031019 - 231 = 131099174547371 is a prime.

It is a super-2 number, since 2×1311013220310192 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (131101322031319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65550661015509 + 65550661015510.

It is an arithmetic number, because the mean of its divisors is an integer number (65550661015510).

Almost surely, 2131101322031019 is an apocalyptic number.

131101322031019 is a deficient number, since it is larger than the sum of its proper divisors (1).

131101322031019 is an equidigital number, since it uses as much as digits as its factorization.

131101322031019 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 28.

The spelling of 131101322031019 in words is "one hundred thirty-one trillion, one hundred one billion, three hundred twenty-two million, thirty-one thousand, nineteen".