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1311413242289 is a prime number
BaseRepresentation
bin10011000101010110010…
…100100000100110110001
311122100222122101020022112
4103011112110200212301
5132441233242223124
62442242133015105
7163514020431263
oct23052624404661
94570878336275
101311413242289
11466192650037
121921b1784495
139688681b947
14476892a9b33
15241a5de190e
hex131565209b1

1311413242289 has 2 divisors, whose sum is σ = 1311413242290. Its totient is φ = 1311413242288.

The previous prime is 1311413242283. The next prime is 1311413242351. The reversal of 1311413242289 is 9822423141131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 741829077025 + 569584165264 = 861295^2 + 754708^2 .

It is an emirp because it is prime and its reverse (9822423141131) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1311413242289 is a prime.

It is not a weakly prime, because it can be changed into another prime (1311413242283) 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, 655706621144 + 655706621145.

It is an arithmetic number, because the mean of its divisors is an integer number (655706621145).

Almost surely, 21311413242289 is an apocalyptic number.

It is an amenable number.

1311413242289 is a deficient number, since it is larger than the sum of its proper divisors (1).

1311413242289 is an equidigital number, since it uses as much as digits as its factorization.

1311413242289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 82944, while the sum is 41.

The spelling of 1311413242289 in words is "one trillion, three hundred eleven billion, four hundred thirteen million, two hundred forty-two thousand, two hundred eighty-nine".