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12032311020013 is a prime number
BaseRepresentation
bin1010111100010111110110…
…0111111100100111101101
31120121021111102221222122101
42233011331213330213231
53034114133110120023
641331322315215101
72351206612111024
oct257057547744755
946537442858571
1012032311020013
113919968986429
121423b38747491
136938467b7a3b
142d851cd238bb
1515cec48961ad
hexaf17d9fc9ed

12032311020013 has 2 divisors, whose sum is σ = 12032311020014. Its totient is φ = 12032311020012.

The previous prime is 12032311019959. The next prime is 12032311020017. The reversal of 12032311020013 is 31002011323021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10230869236329 + 1801441783684 = 3198573^2 + 1342178^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12032311020013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12032311020017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6016155510006 + 6016155510007.

It is an arithmetic number, because the mean of its divisors is an integer number (6016155510007).

Almost surely, 212032311020013 is an apocalyptic number.

It is an amenable number.

12032311020013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12032311020013 is an equidigital number, since it uses as much as digits as its factorization.

12032311020013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 12032311020013 its reverse (31002011323021), we get a palindrome (43034322343034).

The spelling of 12032311020013 in words is "twelve trillion, thirty-two billion, three hundred eleven million, twenty thousand, thirteen".