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13102212133 is a prime number
BaseRepresentation
bin11000011001111001…
…11110010000100101
31020211010010100011001
430030330332100211
5203313131242013
610004041513301
7642453652123
oct141474762045
936733110131
1013102212133
11561394799a
122657aa2831
13130a60b35a
148c4174913
1551a3e1ddd
hex30cf3e425

13102212133 has 2 divisors, whose sum is σ = 13102212134. Its totient is φ = 13102212132.

The previous prime is 13102212113. The next prime is 13102212139. The reversal of 13102212133 is 33121220131.

13102212133 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., 11324577889 + 1777634244 = 106417^2 + 42162^2 .

It is a cyclic number.

It is not a de Polignac number, because 13102212133 - 213 = 13102203941 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13102212133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13102212139) 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, 6551106066 + 6551106067.

It is an arithmetic number, because the mean of its divisors is an integer number (6551106067).

Almost surely, 213102212133 is an apocalyptic number.

It is an amenable number.

13102212133 is a deficient number, since it is larger than the sum of its proper divisors (1).

13102212133 is an equidigital number, since it uses as much as digits as its factorization.

13102212133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 13102212133 its reverse (33121220131), we get a palindrome (46223432264).

The spelling of 13102212133 in words is "thirteen billion, one hundred two million, two hundred twelve thousand, one hundred thirty-three".