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2001323221133 is a prime number
BaseRepresentation
bin11101000111111000001…
…010001110000010001101
321002022202122201110010012
4131013320022032002031
5230242202221034013
64131221210123005
7264406440461435
oct35077012160215
97068678643105
102001323221133
11701835869475
12283a53120465
1311695473c962
146cc164d72c5
15370d42581a8
hex1d1f828e08d

2001323221133 has 2 divisors, whose sum is σ = 2001323221134. Its totient is φ = 2001323221132.

The previous prime is 2001323221127. The next prime is 2001323221141. The reversal of 2001323221133 is 3311223231002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1571881540009 + 429441681124 = 1253747^2 + 655318^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001323221133 - 212 = 2001323217037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2001323221099 and 2001323221108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2001323221123) 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, 1000661610566 + 1000661610567.

It is an arithmetic number, because the mean of its divisors is an integer number (1000661610567).

Almost surely, 22001323221133 is an apocalyptic number.

It is an amenable number.

2001323221133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001323221133 is an equidigital number, since it uses as much as digits as its factorization.

2001323221133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 2001323221133 its reverse (3311223231002), we get a palindrome (5312546452135).

The spelling of 2001323221133 in words is "two trillion, one billion, three hundred twenty-three million, two hundred twenty-one thousand, one hundred thirty-three".