Search a number
-
+
13102431317 is a prime number
BaseRepresentation
bin11000011001111011…
…10011110001010101
31020211010112110210222
430030331303301111
5203313210300232
610004050324125
7642455554133
oct141475636125
936733473728
1013102431317
115613a87638
122657b89645
13130a687051
148c41d0753
1551a436d12
hex30cf73c55

13102431317 has 2 divisors, whose sum is σ = 13102431318. Its totient is φ = 13102431316.

The previous prime is 13102431299. The next prime is 13102431323. The reversal of 13102431317 is 71313420131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7983601201 + 5118830116 = 89351^2 + 71546^2 .

It is an emirp because it is prime and its reverse (71313420131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13102431317 - 210 = 13102430293 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13102430317) 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, 6551215658 + 6551215659.

It is an arithmetic number, because the mean of its divisors is an integer number (6551215659).

Almost surely, 213102431317 is an apocalyptic number.

It is an amenable number.

13102431317 is a deficient number, since it is larger than the sum of its proper divisors (1).

13102431317 is an equidigital number, since it uses as much as digits as its factorization.

13102431317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 26.

Adding to 13102431317 its reverse (71313420131), we get a palindrome (84415851448).

The spelling of 13102431317 in words is "thirteen billion, one hundred two million, four hundred thirty-one thousand, three hundred seventeen".