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13231315917817 is a prime number
BaseRepresentation
bin1100000010001010011111…
…1000101001101111111001
31201211220100011012200000221
43000202213320221233321
53213240213333332232
644050214351300041
72533634225432344
oct300424770515771
951756304180027
1013231315917817
114241407994508
121598398b1a621
1374c927b8b97a
1433a58321745b
1517e29c01b897
hexc08a7e29bf9

13231315917817 has 2 divisors, whose sum is σ = 13231315917818. Its totient is φ = 13231315917816.

The previous prime is 13231315917811. The next prime is 13231315917823. The reversal of 13231315917817 is 71871951313231.

It is a balanced prime because it is at equal distance from previous prime (13231315917811) and next prime (13231315917823).

It can be written as a sum of positive squares in only one way, i.e., 7268518448361 + 5962797469456 = 2696019^2 + 2441884^2 .

It is a cyclic number.

It is not a de Polignac number, because 13231315917817 - 27 = 13231315917689 is a prime.

It is not a weakly prime, because it can be changed into another prime (13231315917811) 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, 6615657958908 + 6615657958909.

It is an arithmetic number, because the mean of its divisors is an integer number (6615657958909).

Almost surely, 213231315917817 is an apocalyptic number.

It is an amenable number.

13231315917817 is a deficient number, since it is larger than the sum of its proper divisors (1).

13231315917817 is an equidigital number, since it uses as much as digits as its factorization.

13231315917817 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 952560, while the sum is 52.

The spelling of 13231315917817 in words is "thirteen trillion, two hundred thirty-one billion, three hundred fifteen million, nine hundred seventeen thousand, eight hundred seventeen".