Search a number
-
+
131303143441361 is a prime number
BaseRepresentation
bin11101110110101101100101…
…001110010000001111010001
3122012220110100211022002220002
4131312231211032100033101
5114202232314210110421
61143131455324255345
736441224204201213
oct3566554516201721
9565813324262802
10131303143441361
1138923394452441
12128875190a1555
135835aaa9a76a8
14245d16b00c5b3
15102a769448b0b
hex776b653903d1

131303143441361 has 2 divisors, whose sum is σ = 131303143441362. Its totient is φ = 131303143441360.

The previous prime is 131303143441291. The next prime is 131303143441417. The reversal of 131303143441361 is 163144341303131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67543413510400 + 63759729930961 = 8218480^2 + 7984969^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131303143441361 is a prime.

It is not a weakly prime, because it can be changed into another prime (131303143441661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65651571720680 + 65651571720681.

It is an arithmetic number, because the mean of its divisors is an integer number (65651571720681).

Almost surely, 2131303143441361 is an apocalyptic number.

It is an amenable number.

131303143441361 is a deficient number, since it is larger than the sum of its proper divisors (1).

131303143441361 is an equidigital number, since it uses as much as digits as its factorization.

131303143441361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 93312, while the sum is 38.

Adding to 131303143441361 its reverse (163144341303131), we get a palindrome (294447484744492).

The spelling of 131303143441361 in words is "one hundred thirty-one trillion, three hundred three billion, one hundred forty-three million, four hundred forty-one thousand, three hundred sixty-one".