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132122021133313 is a prime number
BaseRepresentation
bin11110000010101000001110…
…001000101111110000000001
3122022210202000211010221220201
4132002220032020233300001
5114304141344402231223
61145000004003205201
736554333564553061
oct3602501610576001
9568722024127821
10132122021133313
11391096a8574542
121299a171676801
13589508c96a193
14248aa505913a1
151041be4bb5ead
hex782a0e22fc01

132122021133313 has 2 divisors, whose sum is σ = 132122021133314. Its totient is φ = 132122021133312.

The previous prime is 132122021133299. The next prime is 132122021133397. The reversal of 132122021133313 is 313331120221231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 126318200504769 + 5803820628544 = 11239137^2 + 2409112^2 .

It is a cyclic number.

It is not a de Polignac number, because 132122021133313 - 225 = 132121987578881 is a prime.

It is not a weakly prime, because it can be changed into another prime (132122021133013) 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, 66061010566656 + 66061010566657.

It is an arithmetic number, because the mean of its divisors is an integer number (66061010566657).

Almost surely, 2132122021133313 is an apocalyptic number.

It is an amenable number.

132122021133313 is a deficient number, since it is larger than the sum of its proper divisors (1).

132122021133313 is an equidigital number, since it uses as much as digits as its factorization.

132122021133313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 132122021133313 its reverse (313331120221231), we get a palindrome (445453141354544).

The spelling of 132122021133313 in words is "one hundred thirty-two trillion, one hundred twenty-two billion, twenty-one million, one hundred thirty-three thousand, three hundred thirteen".