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13202320213 is a prime number
BaseRepresentation
bin11000100101110101…
…10110101101010101
31021002002111100121201
430102322312231111
5204014243221323
610022015312501
7645110604325
oct142272665525
937062440551
1013202320213
115665402645
12268551b731
13132528c0c4
148d3593285
155240b88ad
hex312eb6b55

13202320213 has 2 divisors, whose sum is σ = 13202320214. Its totient is φ = 13202320212.

The previous prime is 13202320211. The next prime is 13202320223. The reversal of 13202320213 is 31202320231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12343654404 + 858665809 = 111102^2 + 29303^2 .

It is an emirp because it is prime and its reverse (31202320231) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13202320213 - 21 = 13202320211 is a prime.

It is a super-3 number, since 3×132023202133 (a number of 31 digits) contains 333 as substring.

Together with 13202320211, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13202320211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6601160106 + 6601160107.

It is an arithmetic number, because the mean of its divisors is an integer number (6601160107).

Almost surely, 213202320213 is an apocalyptic number.

It is an amenable number.

13202320213 is a deficient number, since it is larger than the sum of its proper divisors (1).

13202320213 is an equidigital number, since it uses as much as digits as its factorization.

13202320213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 13202320213 its reverse (31202320231), we get a palindrome (44404640444).

The spelling of 13202320213 in words is "thirteen billion, two hundred two million, three hundred twenty thousand, two hundred thirteen".