Search a number
-
+
13130113223 is a prime number
BaseRepresentation
bin11000011101001110…
…11010000011000111
31020220001121212020202
430032213122003013
5203342302110343
610010515521115
7643243056323
oct141647320307
936801555222
1013130113223
115628674447
1226652b919b
131313329b86
148c7b58983
1551caa3db8
hex30e9da0c7

13130113223 has 2 divisors, whose sum is σ = 13130113224. Its totient is φ = 13130113222.

The previous prime is 13130113219. The next prime is 13130113261. The reversal of 13130113223 is 32231103131.

13130113223 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 is a cyclic number.

It is not a de Polignac number, because 13130113223 - 22 = 13130113219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13130113195 and 13130113204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13130113823) 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, 6565056611 + 6565056612.

It is an arithmetic number, because the mean of its divisors is an integer number (6565056612).

Almost surely, 213130113223 is an apocalyptic number.

13130113223 is a deficient number, since it is larger than the sum of its proper divisors (1).

13130113223 is an equidigital number, since it uses as much as digits as its factorization.

13130113223 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13130113223 its reverse (32231103131), we get a palindrome (45361216354).

The spelling of 13130113223 in words is "thirteen billion, one hundred thirty million, one hundred thirteen thousand, two hundred twenty-three".