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12333212220013 is a prime number
BaseRepresentation
bin1011001101111000110010…
…1110111011101001101101
31121200001011202122201101021
42303132030232323221231
53104031404312020023
642121444404214141
72412021332110546
oct263361456735155
947601152581337
1012333212220013
113a25538854613
12147231399a351
136b602b240289
14308d05a154cd
15165c3621c35d
hexb378cbbba6d

12333212220013 has 2 divisors, whose sum is σ = 12333212220014. Its totient is φ = 12333212220012.

The previous prime is 12333212220011. The next prime is 12333212220031. The reversal of 12333212220013 is 31002221233321.

Together with next prime (12333212220031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11574672252649 + 758539967364 = 3402157^2 + 870942^2 .

It is a cyclic number.

It is not a de Polignac number, because 12333212220013 - 21 = 12333212220011 is a prime.

Together with 12333212220011, 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 12333212220013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12333212220011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6166606110006 + 6166606110007.

It is an arithmetic number, because the mean of its divisors is an integer number (6166606110007).

Almost surely, 212333212220013 is an apocalyptic number.

It is an amenable number.

12333212220013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12333212220013 is an equidigital number, since it uses as much as digits as its factorization.

12333212220013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 12333212220013 its reverse (31002221233321), we get a palindrome (43335433453334).

The spelling of 12333212220013 in words is "twelve trillion, three hundred thirty-three billion, two hundred twelve million, two hundred twenty thousand, thirteen".