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13123533041 is a prime number
BaseRepresentation
bin11000011100011100…
…10011100011110001
31020212121020112221022
430032032103203301
5203334111024131
610010122505225
7643133122163
oct141616234361
936777215838
1013123533041
11562498a683
122663065215
131311b64a88
148c6d24933
1551c20437b
hex30e3938f1

13123533041 has 2 divisors, whose sum is σ = 13123533042. Its totient is φ = 13123533040.

The previous prime is 13123533037. The next prime is 13123533053. The reversal of 13123533041 is 14033532131.

13123533041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11222224225 + 1901308816 = 105935^2 + 43604^2 .

It is a cyclic number.

It is not a de Polignac number, because 13123533041 - 22 = 13123533037 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13123533041.

It is not a weakly prime, because it can be changed into another prime (13123533341) 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, 6561766520 + 6561766521.

It is an arithmetic number, because the mean of its divisors is an integer number (6561766521).

Almost surely, 213123533041 is an apocalyptic number.

It is an amenable number.

13123533041 is a deficient number, since it is larger than the sum of its proper divisors (1).

13123533041 is an equidigital number, since it uses as much as digits as its factorization.

13123533041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 26.

It can be divided in two parts, 1312 and 3533041, that added together give a palindrome (3534353).

The spelling of 13123533041 in words is "thirteen billion, one hundred twenty-three million, five hundred thirty-three thousand, forty-one".