Search a number
-
+
13320113033 is a prime number
BaseRepresentation
bin11000110011111000…
…01100101110001001
31021101022010211222202
430121330030232021
5204234422104113
610041424125545
7651041043533
oct143174145611
937338124882
1013320113033
115715947087
1226b8a668b5
1313437c24b6
14905096853
1552e5d5258
hex319f0cb89

13320113033 has 2 divisors, whose sum is σ = 13320113034. Its totient is φ = 13320113032.

The previous prime is 13320112979. The next prime is 13320113057. The reversal of 13320113033 is 33031102331.

13320113033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7877805049 + 5442307984 = 88757^2 + 73772^2 .

It is a cyclic number.

It is not a de Polignac number, because 13320113033 - 218 = 13319850889 is a prime.

It is a super-2 number, since 2×133201130332 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13320112996 and 13320113014.

It is not a weakly prime, because it can be changed into another prime (13320113633) 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, 6660056516 + 6660056517.

It is an arithmetic number, because the mean of its divisors is an integer number (6660056517).

Almost surely, 213320113033 is an apocalyptic number.

It is an amenable number.

13320113033 is a deficient number, since it is larger than the sum of its proper divisors (1).

13320113033 is an equidigital number, since it uses as much as digits as its factorization.

13320113033 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 20.

Adding to 13320113033 its reverse (33031102331), we get a palindrome (46351215364).

The spelling of 13320113033 in words is "thirteen billion, three hundred twenty million, one hundred thirteen thousand, thirty-three".