Search a number
-
+
13315133033 is a prime number
BaseRepresentation
bin11000110011010010…
…01100111001101001
31021100221202211201022
430121221030321221
5204232133224113
610041125302225
7650650522556
oct143151147151
937327684638
1013315133033
115713055584
1226b7264975
13134276a857
1490455ba2d
1552de4e908
hex319a4ce69

13315133033 has 2 divisors, whose sum is σ = 13315133034. Its totient is φ = 13315133032.

The previous prime is 13315133017. The next prime is 13315133071. The reversal of 13315133033 is 33033151331.

It is a happy number.

13315133033 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., 13191211609 + 123921424 = 114853^2 + 11132^2 .

It is a cyclic number.

It is not a de Polignac number, because 13315133033 - 24 = 13315133017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13315132993 and 13315133011.

It is not a weakly prime, because it can be changed into another prime (13315133333) 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, 6657566516 + 6657566517.

It is an arithmetic number, because the mean of its divisors is an integer number (6657566517).

Almost surely, 213315133033 is an apocalyptic number.

It is an amenable number.

13315133033 is a deficient number, since it is larger than the sum of its proper divisors (1).

13315133033 is an equidigital number, since it uses as much as digits as its factorization.

13315133033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3645, while the sum is 26.

Adding to 13315133033 its reverse (33033151331), we get a palindrome (46348284364).

The spelling of 13315133033 in words is "thirteen billion, three hundred fifteen million, one hundred thirty-three thousand, thirty-three".