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13133011841 is a prime number
BaseRepresentation
bin11000011101100100…
…11101101110000001
31020220021002010101222
430032302131232001
5203344022334331
610011102004425
7643306521155
oct141662355601
936807063358
1013133011841
11562a2741a4
122666276715
131313b03331
148c82b1065
1551ce77b7b
hex30ec9db81

13133011841 has 2 divisors, whose sum is σ = 13133011842. Its totient is φ = 13133011840.

The previous prime is 13133011817. The next prime is 13133011861. The reversal of 13133011841 is 14811033131.

13133011841 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., 12707827441 + 425184400 = 112729^2 + 20620^2 .

It is a cyclic number.

It is not a de Polignac number, because 13133011841 - 226 = 13065902977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13133011841.

It is not a weakly prime, because it can be changed into another prime (13133011861) 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, 6566505920 + 6566505921.

It is an arithmetic number, because the mean of its divisors is an integer number (6566505921).

Almost surely, 213133011841 is an apocalyptic number.

It is an amenable number.

13133011841 is a deficient number, since it is larger than the sum of its proper divisors (1).

13133011841 is an equidigital number, since it uses as much as digits as its factorization.

13133011841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 26.

Adding to 13133011841 its reverse (14811033131), we get a palindrome (27944044972).

The spelling of 13133011841 in words is "thirteen billion, one hundred thirty-three million, eleven thousand, eight hundred forty-one".