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13022333301331 is a prime number
BaseRepresentation
bin1011110101111111111110…
…0011001111001001010011
31201002220220210112210020001
42331133333203033021103
53201324214311120311
643410213300430431
72512555362465154
oct275377743171123
951086823483201
1013022333301331
114170816725622
1215639950a8417
13736001897a13
143303da16792b
15178b1a1a14c1
hexbd7ff8cf253

13022333301331 has 2 divisors, whose sum is σ = 13022333301332. Its totient is φ = 13022333301330.

The previous prime is 13022333301311. The next prime is 13022333301349. The reversal of 13022333301331 is 13310333322031.

It is a strong prime.

It is an emirp because it is prime and its reverse (13310333322031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13022333301331 - 225 = 13022299746899 is a prime.

It is a super-3 number, since 3×130223333013313 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 13022333301331.

It is not a weakly prime, because it can be changed into another prime (13022333301301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6511166650665 + 6511166650666.

It is an arithmetic number, because the mean of its divisors is an integer number (6511166650666).

Almost surely, 213022333301331 is an apocalyptic number.

13022333301331 is a deficient number, since it is larger than the sum of its proper divisors (1).

13022333301331 is an equidigital number, since it uses as much as digits as its factorization.

13022333301331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 28.

Adding to 13022333301331 its reverse (13310333322031), we get a palindrome (26332666623362).

The spelling of 13022333301331 in words is "thirteen trillion, twenty-two billion, three hundred thirty-three million, three hundred one thousand, three hundred thirty-one".