Search a number
-
+
13313300313169 is a prime number
BaseRepresentation
bin1100000110111011111010…
…0010010011010001010001
31202010201221210022110201001
43001232332202103101101
53221111114340010134
644152013513342001
72542565664334213
oct301567642232121
952121853273631
1013313300313169
114273158a4a14a
1215b0259407901
137575921661cc
1434051d7485b3
15181499819414
hexc1bbe893451

13313300313169 has 2 divisors, whose sum is σ = 13313300313170. Its totient is φ = 13313300313168.

The previous prime is 13313300313059. The next prime is 13313300313179. The reversal of 13313300313169 is 96131300331331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10606173050944 + 2707127262225 = 3256712^2 + 1645335^2 .

It is an emirp because it is prime and its reverse (96131300331331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13313300313169 - 29 = 13313300312657 is a prime.

It is a super-2 number, since 2×133133003131692 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13313300313179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6656650156584 + 6656650156585.

It is an arithmetic number, because the mean of its divisors is an integer number (6656650156585).

Almost surely, 213313300313169 is an apocalyptic number.

It is an amenable number.

13313300313169 is a deficient number, since it is larger than the sum of its proper divisors (1).

13313300313169 is an equidigital number, since it uses as much as digits as its factorization.

13313300313169 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 39366, while the sum is 37.

The spelling of 13313300313169 in words is "thirteen trillion, three hundred thirteen billion, three hundred million, three hundred thirteen thousand, one hundred sixty-nine".