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1313635276817 is a prime number
BaseRepresentation
bin10011000111011010110…
…000111001100000010001
311122120201111112021122122
4103013122300321200101
5133010311112324232
62443250430544025
7163623051422123
oct23073260714021
94576644467578
101313635276817
1146712295a506
12192711968015
1396b4bc96786
144781a441213
1524286012312
hex131dac39811

1313635276817 has 2 divisors, whose sum is σ = 1313635276818. Its totient is φ = 1313635276816.

The previous prime is 1313635276799. The next prime is 1313635276829. The reversal of 1313635276817 is 7186725363131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 749057361361 + 564577915456 = 865481^2 + 751384^2 .

It is an emirp because it is prime and its reverse (7186725363131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1313635276817 - 28 = 1313635276561 is a prime.

It is not a weakly prime, because it can be changed into another prime (1313635276867) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656817638408 + 656817638409.

It is an arithmetic number, because the mean of its divisors is an integer number (656817638409).

Almost surely, 21313635276817 is an apocalyptic number.

It is an amenable number.

1313635276817 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313635276817 is an equidigital number, since it uses as much as digits as its factorization.

1313635276817 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3810240, while the sum is 53.

The spelling of 1313635276817 in words is "one trillion, three hundred thirteen billion, six hundred thirty-five million, two hundred seventy-six thousand, eight hundred seventeen".