Search a number
-
+
13311021326017 is a prime number
BaseRepresentation
bin1100000110110011011010…
…1100101001111011000001
31202010112001221222221001111
43001230312230221323001
53221041432424413032
644150555423003321
72542455342300622
oct301546654517301
952115057887044
1013311021326017
114272199580398
1215ab922139541
137572bac6a4bc
14340384bc9a49
151813b46e8c47
hexc1b36b29ec1

13311021326017 has 2 divisors, whose sum is σ = 13311021326018. Its totient is φ = 13311021326016.

The previous prime is 13311021326011. The next prime is 13311021326051. The reversal of 13311021326017 is 71062312011331.

13311021326017 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., 9385546925056 + 3925474400961 = 3063584^2 + 1981281^2 .

It is an emirp because it is prime and its reverse (71062312011331) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13311021326017 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13311021326017.

It is not a weakly prime, because it can be changed into another prime (13311021326011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6655510663008 + 6655510663009.

It is an arithmetic number, because the mean of its divisors is an integer number (6655510663009).

Almost surely, 213311021326017 is an apocalyptic number.

It is an amenable number.

13311021326017 is a deficient number, since it is larger than the sum of its proper divisors (1).

13311021326017 is an equidigital number, since it uses as much as digits as its factorization.

13311021326017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4536, while the sum is 31.

Adding to 13311021326017 its reverse (71062312011331), we get a palindrome (84373333337348).

The spelling of 13311021326017 in words is "thirteen trillion, three hundred eleven billion, twenty-one million, three hundred twenty-six thousand, seventeen".