Search a number
-
+
13313130307 is a prime number
BaseRepresentation
bin11000110011000011…
…00011111101000011
31021100211000002111021
430121201203331003
5204231130132212
610041014330311
7650624511661
oct143141437503
937324002437
1013313130307
115711a07934
1226b6659997
1313422190c9
14904199c31
1552dba6307
hex319863f43

13313130307 has 2 divisors, whose sum is σ = 13313130308. Its totient is φ = 13313130306.

The previous prime is 13313130239. The next prime is 13313130317. The reversal of 13313130307 is 70303131331.

It is a happy number.

13313130307 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 is a cyclic number.

It is not a de Polignac number, because 13313130307 - 27 = 13313130179 is a prime.

It is a super-3 number, since 3×133131303073 (a number of 31 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (13313130317) 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, 6656565153 + 6656565154.

It is an arithmetic number, because the mean of its divisors is an integer number (6656565154).

Almost surely, 213313130307 is an apocalyptic number.

13313130307 is a deficient number, since it is larger than the sum of its proper divisors (1).

13313130307 is an equidigital number, since it uses as much as digits as its factorization.

13313130307 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1701, while the sum is 25.

Adding to 13313130307 its reverse (70303131331), we get a palindrome (83616261638).

The spelling of 13313130307 in words is "thirteen billion, three hundred thirteen million, one hundred thirty thousand, three hundred seven".