Search a number
-
+
13312323113161 is a prime number
BaseRepresentation
bin1100000110111000010001…
…0010100101000011001001
31202010122102200112120022011
43001232010102211003021
53221102114204110121
644151332524455521
72542532530303462
oct301560422450311
952118380476264
1013312323113161
1142727a7389336
1215b00260aa5a1
1375746787ca57
14340469a53d69
1518143db3d7e1
hexc1b844a50c9

13312323113161 has 2 divisors, whose sum is σ = 13312323113162. Its totient is φ = 13312323113160.

The previous prime is 13312323113153. The next prime is 13312323113207. The reversal of 13312323113161 is 16131132321331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8074889473225 + 5237433639936 = 2841635^2 + 2288544^2 .

It is a cyclic number.

It is not a de Polignac number, because 13312323113161 - 23 = 13312323113153 is a prime.

It is a super-2 number, since 2×133123231131612 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13312323110161) 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, 6656161556580 + 6656161556581.

It is an arithmetic number, because the mean of its divisors is an integer number (6656161556581).

Almost surely, 213312323113161 is an apocalyptic number.

It is an amenable number.

13312323113161 is a deficient number, since it is larger than the sum of its proper divisors (1).

13312323113161 is an equidigital number, since it uses as much as digits as its factorization.

13312323113161 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5832, while the sum is 31.

Adding to 13312323113161 its reverse (16131132321331), we get a palindrome (29443455434492).

The spelling of 13312323113161 in words is "thirteen trillion, three hundred twelve billion, three hundred twenty-three million, one hundred thirteen thousand, one hundred sixty-one".