Search a number
-
+
131031310309 is a prime number
BaseRepresentation
bin111101000001000010…
…0110001111111100101
3110112012210112020101221
41322002010301333211
54121323003412214
6140110035420341
712316035521644
oct1720204617745
9415183466357
10131031310309
115062a8388a9
122148a1546b1
13c482755213
1464b044735b
15361d67be24
hex1e82131fe5

131031310309 has 2 divisors, whose sum is σ = 131031310310. Its totient is φ = 131031310308.

The previous prime is 131031310213. The next prime is 131031310321. The reversal of 131031310309 is 903013130131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 130160765284 + 870545025 = 360778^2 + 29505^2 .

It is a cyclic number.

It is not a de Polignac number, because 131031310309 - 231 = 128883826661 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131031317309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65515655154 + 65515655155.

It is an arithmetic number, because the mean of its divisors is an integer number (65515655155).

Almost surely, 2131031310309 is an apocalyptic number.

It is an amenable number.

131031310309 is a deficient number, since it is larger than the sum of its proper divisors (1).

131031310309 is an equidigital number, since it uses as much as digits as its factorization.

131031310309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 25.

The spelling of 131031310309 in words is "one hundred thirty-one billion, thirty-one million, three hundred ten thousand, three hundred nine".