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13231222133 is a prime number
BaseRepresentation
bin11000101001010010…
…00110110101110101
31021011002212201121012
430110221012311311
5204044143102013
610024531002005
7645611350433
oct142451066565
937132781535
1013231222133
11567a753028
122693139305
13132b26b32c
148d7357d53
155268c71a8
hex314a46d75

13231222133 has 2 divisors, whose sum is σ = 13231222134. Its totient is φ = 13231222132.

The previous prime is 13231222063. The next prime is 13231222157. The reversal of 13231222133 is 33122213231.

13231222133 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., 9924742129 + 3306480004 = 99623^2 + 57502^2 .

It is an emirp because it is prime and its reverse (33122213231) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13231222133 - 28 = 13231221877 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13231222099 and 13231222108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13231222633) 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, 6615611066 + 6615611067.

It is an arithmetic number, because the mean of its divisors is an integer number (6615611067).

Almost surely, 213231222133 is an apocalyptic number.

It is an amenable number.

13231222133 is a deficient number, since it is larger than the sum of its proper divisors (1).

13231222133 is an equidigital number, since it uses as much as digits as its factorization.

13231222133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296, while the sum is 23.

Adding to 13231222133 its reverse (33122213231), we get a palindrome (46353435364).

The spelling of 13231222133 in words is "thirteen billion, two hundred thirty-one million, two hundred twenty-two thousand, one hundred thirty-three".