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13221401113 is a prime number
BaseRepresentation
bin11000101000000111…
…01001001000011001
31021010102101202200201
430110003221020121
5204034134313423
610023540302201
7645432024634
oct142403511031
937112352621
1013221401113
115675155388
12268b9a1961
13132921008b
148d5d1cc1b
15525ad72ad
hex3140e9219

13221401113 has 2 divisors, whose sum is σ = 13221401114. Its totient is φ = 13221401112.

The previous prime is 13221401093. The next prime is 13221401153. The reversal of 13221401113 is 31110412231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11002331664 + 2219069449 = 104892^2 + 47107^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13221401113 is a prime.

It is not a weakly prime, because it can be changed into another prime (13221401153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6610700556 + 6610700557.

It is an arithmetic number, because the mean of its divisors is an integer number (6610700557).

Almost surely, 213221401113 is an apocalyptic number.

It is an amenable number.

13221401113 is a deficient number, since it is larger than the sum of its proper divisors (1).

13221401113 is an equidigital number, since it uses as much as digits as its factorization.

13221401113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 13221401113 its reverse (31110412231), we get a palindrome (44331813344).

The spelling of 13221401113 in words is "thirteen billion, two hundred twenty-one million, four hundred one thousand, one hundred thirteen".