Search a number
-
+
13313031227 is a prime number
BaseRepresentation
bin11000110011000010…
…01011110000111011
31021100210211001120122
430121201023300323
5204231113444402
610041012243455
7650623620056
oct143141136073
937323731518
1013313031227
11571194a451
1226b661058b
1313421b2c92
14904171a9d
1552db86ca2
hex31984bc3b

13313031227 has 2 divisors, whose sum is σ = 13313031228. Its totient is φ = 13313031226.

The previous prime is 13313031197. The next prime is 13313031229. The reversal of 13313031227 is 72213031331.

13313031227 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 13313031227 - 26 = 13313031163 is a prime.

Together with 13313031229, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 13313031196 and 13313031205.

It is not a weakly prime, because it can be changed into another prime (13313031229) 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, 6656515613 + 6656515614.

It is an arithmetic number, because the mean of its divisors is an integer number (6656515614).

Almost surely, 213313031227 is an apocalyptic number.

13313031227 is a deficient number, since it is larger than the sum of its proper divisors (1).

13313031227 is an equidigital number, since it uses as much as digits as its factorization.

13313031227 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 26.

Adding to 13313031227 its reverse (72213031331), we get a palindrome (85526062558).

The spelling of 13313031227 in words is "thirteen billion, three hundred thirteen million, thirty-one thousand, two hundred twenty-seven".