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13002130021 is a prime number
BaseRepresentation
bin11000001101111110…
…01100001001100101
31020120010210122022011
430012333030021211
5203112021130041
65550104434221
7640130165416
oct140677141145
936503718264
1013002130021
1155723aa801
12262a478971
1312c296937a
148b4b6180d
15511722e81
hex306fcc265

13002130021 has 2 divisors, whose sum is σ = 13002130022. Its totient is φ = 13002130020.

The previous prime is 13002129997. The next prime is 13002130039. The reversal of 13002130021 is 12003120031.

13002130021 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., 12762220900 + 239909121 = 112970^2 + 15489^2 .

It is a cyclic number.

It is not a de Polignac number, because 13002130021 - 27 = 13002129893 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13002129983 and 13002130010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13002130051) 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, 6501065010 + 6501065011.

It is an arithmetic number, because the mean of its divisors is an integer number (6501065011).

Almost surely, 213002130021 is an apocalyptic number.

It is an amenable number.

13002130021 is a deficient number, since it is larger than the sum of its proper divisors (1).

13002130021 is an equidigital number, since it uses as much as digits as its factorization.

13002130021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 13002130021 its reverse (12003120031), we get a palindrome (25005250052).

The spelling of 13002130021 in words is "thirteen billion, two million, one hundred thirty thousand, twenty-one".