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13031130041 is a prime number
BaseRepresentation
bin11000010001011011…
…10100001110111001
31020122011100222211222
430020231310032321
5203141432130131
65553022201425
7640631530526
oct141055641671
936564328758
1013031130041
115587807966
122638123275
1312c8981147
148b895014d
1551405087b
hex308b743b9

13031130041 has 2 divisors, whose sum is σ = 13031130042. Its totient is φ = 13031130040.

The previous prime is 13031130017. The next prime is 13031130067. The reversal of 13031130041 is 14003113031.

13031130041 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., 12589962025 + 441168016 = 112205^2 + 21004^2 .

It is a cyclic number.

It is not a de Polignac number, because 13031130041 - 222 = 13026935737 is a prime.

It is not a weakly prime, because it can be changed into another prime (13031130341) 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, 6515565020 + 6515565021.

It is an arithmetic number, because the mean of its divisors is an integer number (6515565021).

Almost surely, 213031130041 is an apocalyptic number.

It is an amenable number.

13031130041 is a deficient number, since it is larger than the sum of its proper divisors (1).

13031130041 is an equidigital number, since it uses as much as digits as its factorization.

13031130041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 13031130041 its reverse (14003113031), we get a palindrome (27034243072).

The spelling of 13031130041 in words is "thirteen billion, thirty-one million, one hundred thirty thousand, forty-one".