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13331131217 is a prime number
BaseRepresentation
bin11000110101001100…
…01110101101010001
31021102001212122002122
430122212032231101
5204300232144332
610042500224025
7651233513525
oct143246165521
937361778078
1013331131217
115721092218
12270069b015
131345b7c631
14906723d85
1553055ec12
hex31a98eb51

13331131217 has 2 divisors, whose sum is σ = 13331131218. Its totient is φ = 13331131216.

The previous prime is 13331131207. The next prime is 13331131273. The reversal of 13331131217 is 71213113331.

It is a happy number.

13331131217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13022461456 + 308669761 = 114116^2 + 17569^2 .

It is a cyclic number.

It is not a de Polignac number, because 13331131217 - 28 = 13331130961 is a prime.

It is not a weakly prime, because it can be changed into another prime (13331131207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6665565608 + 6665565609.

It is an arithmetic number, because the mean of its divisors is an integer number (6665565609).

Almost surely, 213331131217 is an apocalyptic number.

It is an amenable number.

13331131217 is a deficient number, since it is larger than the sum of its proper divisors (1).

13331131217 is an equidigital number, since it uses as much as digits as its factorization.

13331131217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1134, while the sum is 26.

Adding to 13331131217 its reverse (71213113331), we get a palindrome (84544244548).

The spelling of 13331131217 in words is "thirteen billion, three hundred thirty-one million, one hundred thirty-one thousand, two hundred seventeen".