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13221302113 is a prime number
BaseRepresentation
bin11000101000000110…
…10000111101100001
31021010102012201220001
430110003100331201
5204034123131423
610023534220001
7645431133205
oct142403207541
937112181801
1013221302113
115675097a68
12268b954601
1313291a6cb6
148d5cd4b05
15525ab7cad
hex3140d0f61

13221302113 has 2 divisors, whose sum is σ = 13221302114. Its totient is φ = 13221302112.

The previous prime is 13221302111. The next prime is 13221302119. The reversal of 13221302113 is 31120312231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12698585344 + 522716769 = 112688^2 + 22863^2 .

It is a cyclic number.

It is not a de Polignac number, because 13221302113 - 21 = 13221302111 is a prime.

It is a super-3 number, since 3×132213021133 (a number of 31 digits) contains 333 as substring.

Together with 13221302111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13221302111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6610651056 + 6610651057.

It is an arithmetic number, because the mean of its divisors is an integer number (6610651057).

Almost surely, 213221302113 is an apocalyptic number.

It is an amenable number.

13221302113 is a deficient number, since it is larger than the sum of its proper divisors (1).

13221302113 is an equidigital number, since it uses as much as digits as its factorization.

13221302113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 13221302113 its reverse (31120312231), we get a palindrome (44341614344).

The spelling of 13221302113 in words is "thirteen billion, two hundred twenty-one million, three hundred two thousand, one hundred thirteen".