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131064712661 is a prime number
BaseRepresentation
bin111101000010000010…
…0001100110111010101
3110112022010101020211002
41322010010030313111
54121410031301121
6140113231353045
712316622450621
oct1720404146725
9415263336732
10131064712661
1150647682553
1221499382785
13c48964ba1c
1464b4a60181
153621578e0b
hex1e8410cdd5

131064712661 has 2 divisors, whose sum is σ = 131064712662. Its totient is φ = 131064712660.

The previous prime is 131064712637. The next prime is 131064712759. The reversal of 131064712661 is 166217460131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 129582000625 + 1482712036 = 359975^2 + 38506^2 .

It is an emirp because it is prime and its reverse (166217460131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131064712661 - 214 = 131064696277 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131064712061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65532356330 + 65532356331.

It is an arithmetic number, because the mean of its divisors is an integer number (65532356331).

Almost surely, 2131064712661 is an apocalyptic number.

It is an amenable number.

131064712661 is a deficient number, since it is larger than the sum of its proper divisors (1).

131064712661 is an equidigital number, since it uses as much as digits as its factorization.

131064712661 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36288, while the sum is 38.

The spelling of 131064712661 in words is "one hundred thirty-one billion, sixty-four million, seven hundred twelve thousand, six hundred sixty-one".