Search a number
-
+
13311013311223 is a prime number
BaseRepresentation
bin1100000110110011011000…
…1110000101001011110111
31202010112001101220201211021
43001230312032011023313
53221041423401424343
644150554535122011
72542455214210105
oct301546616051367
952115041821737
1013311013311223
114272194aa67a1
1215ab91b513307
137572b93c2414
14340383b00c75
151813b3b640ed
hexc1b363852f7

13311013311223 has 2 divisors, whose sum is σ = 13311013311224. Its totient is φ = 13311013311222.

The previous prime is 13311013311157. The next prime is 13311013311229. The reversal of 13311013311223 is 32211331011331.

It is a strong prime.

It is an emirp because it is prime and its reverse (32211331011331) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13311013311223 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13311013311229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6655506655611 + 6655506655612.

It is an arithmetic number, because the mean of its divisors is an integer number (6655506655612).

Almost surely, 213311013311223 is an apocalyptic number.

13311013311223 is a deficient number, since it is larger than the sum of its proper divisors (1).

13311013311223 is an equidigital number, since it uses as much as digits as its factorization.

13311013311223 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 13311013311223 its reverse (32211331011331), we get a palindrome (45522344322554).

The spelling of 13311013311223 in words is "thirteen trillion, three hundred eleven billion, thirteen million, three hundred eleven thousand, two hundred twenty-three".