Search a number
-
+
13213003033 is a prime number
BaseRepresentation
bin11000100111000111…
…00110110100011001
31021002211121002200201
430103203212310121
5204030012044113
610023040302201
7645300446506
oct142343466431
937084532621
1013213003033
11567043981a
122689011961
13132755c6b9
148d4b744ad
15524ec8cdd
hex3138e6d19

13213003033 has 2 divisors, whose sum is σ = 13213003034. Its totient is φ = 13213003032.

The previous prime is 13213003031. The next prime is 13213003043. The reversal of 13213003033 is 33030031231.

13213003033 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., 12541312144 + 671690889 = 111988^2 + 25917^2 .

It is a cyclic number.

It is not a de Polignac number, because 13213003033 - 21 = 13213003031 is a prime.

Together with 13213003031, 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 13213003033.

It is not a weakly prime, because it can be changed into another prime (13213003031) 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, 6606501516 + 6606501517.

It is an arithmetic number, because the mean of its divisors is an integer number (6606501517).

Almost surely, 213213003033 is an apocalyptic number.

It is an amenable number.

13213003033 is a deficient number, since it is larger than the sum of its proper divisors (1).

13213003033 is an equidigital number, since it uses as much as digits as its factorization.

13213003033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 13213003033 its reverse (33030031231), we get a palindrome (46243034264).

The spelling of 13213003033 in words is "thirteen billion, two hundred thirteen million, three thousand, thirty-three".