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13312012000093 is a prime number
BaseRepresentation
bin1100000110110111000110…
…1111110001101101011101
31202010121122000010101101221
43001231301233301231131
53221101000033000333
644151242012333341
72542522032010342
oct301556157615535
952117560111357
1013312012000093
1142726578044a4
1215abb59a74251
13757418290891
1434043a5ca7c9
15181421686d2d
hexc1b71bf1b5d

13312012000093 has 2 divisors, whose sum is σ = 13312012000094. Its totient is φ = 13312012000092.

The previous prime is 13312011999983. The next prime is 13312012000117. The reversal of 13312012000093 is 39000021021331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8732574638649 + 4579437361444 = 2955093^2 + 2139962^2 .

It is a cyclic number.

It is not a de Polignac number, because 13312012000093 - 29 = 13312011999581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13312012000193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6656006000046 + 6656006000047.

It is an arithmetic number, because the mean of its divisors is an integer number (6656006000047).

Almost surely, 213312012000093 is an apocalyptic number.

It is an amenable number.

13312012000093 is a deficient number, since it is larger than the sum of its proper divisors (1).

13312012000093 is an equidigital number, since it uses as much as digits as its factorization.

13312012000093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 25.

The spelling of 13312012000093 in words is "thirteen trillion, three hundred twelve billion, twelve million, ninety-three", and thus it is an aban number.