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13211203337 is a prime number
BaseRepresentation
bin11000100110111001…
…01111011100001001
31021002201012122222022
430103130233130021
5204024032001322
610022533534225
7645246242543
oct142334573411
937081178868
1013211203337
11566a41a672
1226884a4375
13132707c4a7
148d4826693
15524c70942
hex31372f709

13211203337 has 2 divisors, whose sum is σ = 13211203338. Its totient is φ = 13211203336.

The previous prime is 13211203307. The next prime is 13211203339. The reversal of 13211203337 is 73330211231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9242707321 + 3968496016 = 96139^2 + 62996^2 .

It is an emirp because it is prime and its reverse (73330211231) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13211203337 - 210 = 13211202313 is a prime.

It is a super-3 number, since 3×132112033373 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 13211203339, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13211203339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6605601668 + 6605601669.

It is an arithmetic number, because the mean of its divisors is an integer number (6605601669).

Almost surely, 213211203337 is an apocalyptic number.

It is an amenable number.

13211203337 is a deficient number, since it is larger than the sum of its proper divisors (1).

13211203337 is an equidigital number, since it uses as much as digits as its factorization.

13211203337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2268, while the sum is 26.

Adding to 13211203337 its reverse (73330211231), we get a palindrome (86541414568).

The spelling of 13211203337 in words is "thirteen billion, two hundred eleven million, two hundred three thousand, three hundred thirty-seven".