Search a number
-
+
13104331301123 is a prime number
BaseRepresentation
bin1011111010110001011100…
…0000110010000100000011
31201101202120101020202200022
42332230113000302010003
53204200132303113443
643512014030244055
72521520355131066
oct276542700620403
951352511222608
1013104331301123
1141a25744324a7
12157785a05662b
1374096b92661a
143343783da8dd
1517ad18c89e68
hexbeb17032103

13104331301123 has 2 divisors, whose sum is σ = 13104331301124. Its totient is φ = 13104331301122.

The previous prime is 13104331301119. The next prime is 13104331301129. The reversal of 13104331301123 is 32110313340131.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 13104331301123 - 22 = 13104331301119 is a prime.

It is a super-3 number, since 3×131043313011233 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 13104331301092 and 13104331301101.

It is not a weakly prime, because it can be changed into another prime (13104331301129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6552165650561 + 6552165650562.

It is an arithmetic number, because the mean of its divisors is an integer number (6552165650562).

Almost surely, 213104331301123 is an apocalyptic number.

13104331301123 is a deficient number, since it is larger than the sum of its proper divisors (1).

13104331301123 is an equidigital number, since it uses as much as digits as its factorization.

13104331301123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 13104331301123 its reverse (32110313340131), we get a palindrome (45214644641254).

The spelling of 13104331301123 in words is "thirteen trillion, one hundred four billion, three hundred thirty-one million, three hundred one thousand, one hundred twenty-three".