Search a number
-
+
13315342129 is a prime number
BaseRepresentation
bin11000110011010011…
…11111111100110001
31021100222011110112121
430121221333330301
5204232211422004
610041133554241
7650652353305
oct143151777461
937328143477
1013315342129
115713188691
1226b7345981
131342811a8b
149045b3d05
1552de91854
hex319a7ff31

13315342129 has 2 divisors, whose sum is σ = 13315342130. Its totient is φ = 13315342128.

The previous prime is 13315342127. The next prime is 13315342151. The reversal of 13315342129 is 92124351331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13215801600 + 99540529 = 114960^2 + 9977^2 .

It is an emirp because it is prime and its reverse (92124351331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13315342129 - 21 = 13315342127 is a prime.

Together with 13315342127, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 13315342094 and 13315342103.

It is not a weakly prime, because it can be changed into another prime (13315342127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6657671064 + 6657671065.

It is an arithmetic number, because the mean of its divisors is an integer number (6657671065).

Almost surely, 213315342129 is an apocalyptic number.

It is an amenable number.

13315342129 is a deficient number, since it is larger than the sum of its proper divisors (1).

13315342129 is an equidigital number, since it uses as much as digits as its factorization.

13315342129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 19440, while the sum is 34.

The spelling of 13315342129 in words is "thirteen billion, three hundred fifteen million, three hundred forty-two thousand, one hundred twenty-nine".