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1311241316041 is a prime number
BaseRepresentation
bin10011000101001100000…
…100101010011011001001
311122100112122212110211201
4103011030010222123021
5132440410234103131
62442213112024201
7163506532200466
oct23051404523311
94570478773751
101311241316041
114661045a2328
12192164092061
139685a013937
144767051466d
1524195c80761
hex1314c12a6c9

1311241316041 has 2 divisors, whose sum is σ = 1311241316042. Its totient is φ = 1311241316040.

The previous prime is 1311241315981. The next prime is 1311241316051. The reversal of 1311241316041 is 1406131421131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 946721216016 + 364520100025 = 972996^2 + 603755^2 .

It is a cyclic number.

It is not a de Polignac number, because 1311241316041 - 215 = 1311241283273 is a prime.

It is not a weakly prime, because it can be changed into another prime (1311241316051) 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, 655620658020 + 655620658021.

It is an arithmetic number, because the mean of its divisors is an integer number (655620658021).

Almost surely, 21311241316041 is an apocalyptic number.

It is an amenable number.

1311241316041 is a deficient number, since it is larger than the sum of its proper divisors (1).

1311241316041 is an equidigital number, since it uses as much as digits as its factorization.

1311241316041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 28.

Adding to 1311241316041 its reverse (1406131421131), we get a palindrome (2717372737172).

The spelling of 1311241316041 in words is "one trillion, three hundred eleven billion, two hundred forty-one million, three hundred sixteen thousand, forty-one".