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133033244220013 is a prime number
BaseRepresentation
bin11110001111111000110111…
…010000111101101001101101
3122110000212001112010220210211
4132033320313100331221231
5114414104041010020023
61150534343444302421
740010222544160024
oct3617706720755155
9573025045126724
10133033244220013
113943009a2134a5
1212b068983a1a11
13592cc9a62c297
1424bcbb43198bb
15105a77764ba0d
hex78fe3743da6d

133033244220013 has 2 divisors, whose sum is σ = 133033244220014. Its totient is φ = 133033244220012.

The previous prime is 133033244220001. The next prime is 133033244220053. The reversal of 133033244220013 is 310022442330331.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 131455901638084 + 1577342581929 = 11465422^2 + 1255923^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-133033244220013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133033244220053) 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, 66516622110006 + 66516622110007.

It is an arithmetic number, because the mean of its divisors is an integer number (66516622110007).

Almost surely, 2133033244220013 is an apocalyptic number.

It is an amenable number.

133033244220013 is a deficient number, since it is larger than the sum of its proper divisors (1).

133033244220013 is an equidigital number, since it uses as much as digits as its factorization.

133033244220013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 31.

Adding to 133033244220013 its reverse (310022442330331), we get a palindrome (443055686550344).

The spelling of 133033244220013 in words is "one hundred thirty-three trillion, thirty-three billion, two hundred forty-four million, two hundred twenty thousand, thirteen".