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111312330330013 is a prime number
BaseRepresentation
bin11001010011110011101011…
…111010001000111110011101
3112121010100120200120220021121
4121103303223322020332131
5104042220123031030023
61032424102325130541
732306023212336241
oct3123635372107635
9477110520526247
10111312330330013
113251632662386a
12105990aa259a51
134a15927aba457
141d6b78cd34421
15cd0750da8d5d
hex653cebe88f9d

111312330330013 has 2 divisors, whose sum is σ = 111312330330014. Its totient is φ = 111312330330012.

The previous prime is 111312330330011. The next prime is 111312330330017. The reversal of 111312330330013 is 310033033213111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56321993020804 + 54990337309209 = 7504798^2 + 7415547^2 .

It is a cyclic number.

It is not a de Polignac number, because 111312330330013 - 21 = 111312330330011 is a prime.

Together with 111312330330011, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 111312330330013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111312330330011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55656165165006 + 55656165165007.

It is an arithmetic number, because the mean of its divisors is an integer number (55656165165007).

Almost surely, 2111312330330013 is an apocalyptic number.

It is an amenable number.

111312330330013 is a deficient number, since it is larger than the sum of its proper divisors (1).

111312330330013 is an equidigital number, since it uses as much as digits as its factorization.

111312330330013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 111312330330013 its reverse (310033033213111), we get a palindrome (421345363543124).

The spelling of 111312330330013 in words is "one hundred eleven trillion, three hundred twelve billion, three hundred thirty million, three hundred thirty thousand, thirteen".