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103333320133 is a prime number
BaseRepresentation
bin110000000111100100…
…1010101010111000101
3100212201110212112211221
41200033021111113011
53143111312221013
6115245355400341
710315460505001
oct1401711252705
9325643775757
10103333320133
113a906a6892a
121803a1530b1
13998a28a014
145003a31701
152a4bbc008d
hex180f2555c5

103333320133 has 2 divisors, whose sum is σ = 103333320134. Its totient is φ = 103333320132.

The previous prime is 103333320131. The next prime is 103333320157. The reversal of 103333320133 is 331023333301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81394378209 + 21938941924 = 285297^2 + 148118^2 .

It is an emirp because it is prime and its reverse (331023333301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 103333320133 - 21 = 103333320131 is a prime.

Together with 103333320131, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 103333320098 and 103333320107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103333320131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51666660066 + 51666660067.

It is an arithmetic number, because the mean of its divisors is an integer number (51666660067).

Almost surely, 2103333320133 is an apocalyptic number.

It is an amenable number.

103333320133 is a deficient number, since it is larger than the sum of its proper divisors (1).

103333320133 is an equidigital number, since it uses as much as digits as its factorization.

103333320133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374, while the sum is 25.

Adding to 103333320133 its reverse (331023333301), we get a palindrome (434356653434).

The spelling of 103333320133 in words is "one hundred three billion, three hundred thirty-three million, three hundred twenty thousand, one hundred thirty-three".