Search a number
-
+
13202330312317 is a prime number
BaseRepresentation
bin1100000000011110100000…
…1101010101111001111101
31201202010112002200100022111
43000013220031111321331
53212301333024443232
644025022233214021
72531560024026016
oct300075015257175
951663462610274
1013202330312317
114230093306043
121592849861311
13749c88a03903
14338dd37c600d
1517d6524b9047
hexc01e8355e7d

13202330312317 has 2 divisors, whose sum is σ = 13202330312318. Its totient is φ = 13202330312316.

The previous prime is 13202330312279. The next prime is 13202330312351. The reversal of 13202330312317 is 71321303320231.

It is a happy number.

13202330312317 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13150349048281 + 51981264036 = 3626341^2 + 227994^2 .

It is a cyclic number.

It is not a de Polignac number, because 13202330312317 - 215 = 13202330279549 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13202330312387) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6601165156158 + 6601165156159.

It is an arithmetic number, because the mean of its divisors is an integer number (6601165156159).

Almost surely, 213202330312317 is an apocalyptic number.

It is an amenable number.

13202330312317 is a deficient number, since it is larger than the sum of its proper divisors (1).

13202330312317 is an equidigital number, since it uses as much as digits as its factorization.

13202330312317 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13608, while the sum is 31.

Adding to 13202330312317 its reverse (71321303320231), we get a palindrome (84523633632548).

The spelling of 13202330312317 in words is "thirteen trillion, two hundred two billion, three hundred thirty million, three hundred twelve thousand, three hundred seventeen".