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13312120142317 is a prime number
BaseRepresentation
bin1100000110110111100000…
…1100010011100111101101
31202010121220112121120122111
43001231320030103213231
53221101210224023232
644151300434244021
72542524514133653
oct301557014234755
952117815546574
1013312120142317
114272702857337
1215abb8a126611
137574347c5469
1434044aadadd3
1518142ade9047
hexc1b783139ed

13312120142317 has 2 divisors, whose sum is σ = 13312120142318. Its totient is φ = 13312120142316.

The previous prime is 13312120142309. The next prime is 13312120142329. The reversal of 13312120142317 is 71324102121331.

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., 10756425530601 + 2555694611716 = 3279699^2 + 1598654^2 .

It is a cyclic number.

It is not a de Polignac number, because 13312120142317 - 23 = 13312120142309 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13312120142017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6656060071158 + 6656060071159.

It is an arithmetic number, because the mean of its divisors is an integer number (6656060071159).

Almost surely, 213312120142317 is an apocalyptic number.

It is an amenable number.

13312120142317 is a deficient number, since it is larger than the sum of its proper divisors (1).

13312120142317 is an equidigital number, since it uses as much as digits as its factorization.

13312120142317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 31.

Adding to 13312120142317 its reverse (71324102121331), we get a palindrome (84636222263648).

The spelling of 13312120142317 in words is "thirteen trillion, three hundred twelve billion, one hundred twenty million, one hundred forty-two thousand, three hundred seventeen".