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13133210213 is a prime number
BaseRepresentation
bin11000011101100110…
…01110001001100101
31020220021110012112002
430032303032021211
5203344100211323
610011110135045
7643311305414
oct141663161145
936807405462
1013133210213
11562a39a242
122666351485
131313b72706
148c832347b
1551ceb6828
hex30ecce265

13133210213 has 2 divisors, whose sum is σ = 13133210214. Its totient is φ = 13133210212.

The previous prime is 13133210179. The next prime is 13133210219. The reversal of 13133210213 is 31201233131.

13133210213 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., 12479794369 + 653415844 = 111713^2 + 25562^2 .

It is a cyclic number.

It is not a de Polignac number, because 13133210213 - 228 = 12864774757 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13133210219) 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, 6566605106 + 6566605107.

It is an arithmetic number, because the mean of its divisors is an integer number (6566605107).

Almost surely, 213133210213 is an apocalyptic number.

It is an amenable number.

13133210213 is a deficient number, since it is larger than the sum of its proper divisors (1).

13133210213 is an equidigital number, since it uses as much as digits as its factorization.

13133210213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13133210213 its reverse (31201233131), we get a palindrome (44334443344).

The spelling of 13133210213 in words is "thirteen billion, one hundred thirty-three million, two hundred ten thousand, two hundred thirteen".