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13212321213337 is a prime number
BaseRepresentation
bin1100000001000011101110…
…1101100110101110011001
31201210002022101022200222121
43000100323231212232121
53212432313212311322
644033353453021241
72532362431213231
oct300207355465631
951702271280877
1013212321213337
11423434a975934
121594777784821
1374abbb85666c
143396a065acc1
1517da3967aec7
hexc043bb66b99

13212321213337 has 2 divisors, whose sum is σ = 13212321213338. Its totient is φ = 13212321213336.

The previous prime is 13212321213281. The next prime is 13212321213389. The reversal of 13212321213337 is 73331212321231.

13212321213337 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., 11988047565376 + 1224273647961 = 3462376^2 + 1106469^2 .

It is a cyclic number.

It is not a de Polignac number, because 13212321213337 - 211 = 13212321211289 is a prime.

It is not a weakly prime, because it can be changed into another prime (13212321213737) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6606160606668 + 6606160606669.

It is an arithmetic number, because the mean of its divisors is an integer number (6606160606669).

Almost surely, 213212321213337 is an apocalyptic number.

It is an amenable number.

13212321213337 is a deficient number, since it is larger than the sum of its proper divisors (1).

13212321213337 is an equidigital number, since it uses as much as digits as its factorization.

13212321213337 is an evil number, because the sum of its binary digits is even.

The product of its digits is 27216, while the sum is 34.

Adding to 13212321213337 its reverse (73331212321231), we get a palindrome (86543533534568).

The spelling of 13212321213337 in words is "thirteen trillion, two hundred twelve billion, three hundred twenty-one million, two hundred thirteen thousand, three hundred thirty-seven".