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101330210213 is a prime number
BaseRepresentation
bin101111001011111000…
…0000100110110100101
3100200112212200000121122
41132113300010312211
53130011013211323
6114314522023325
710215025401251
oct1362760046645
9320485600548
10101330210213
1139a79297791
121777b347b45
13972b29428b
144c939a7261
152980de5ec8
hex1797c04da5

101330210213 has 2 divisors, whose sum is σ = 101330210214. Its totient is φ = 101330210212.

The previous prime is 101330210209. The next prime is 101330210237. The reversal of 101330210213 is 312012033101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95050123204 + 6280087009 = 308302^2 + 79247^2 .

It is an emirp because it is prime and its reverse (312012033101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101330210213 - 22 = 101330210209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101330210191 and 101330210200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101330210203) 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, 50665105106 + 50665105107.

It is an arithmetic number, because the mean of its divisors is an integer number (50665105107).

Almost surely, 2101330210213 is an apocalyptic number.

It is an amenable number.

101330210213 is a deficient number, since it is larger than the sum of its proper divisors (1).

101330210213 is an equidigital number, since it uses as much as digits as its factorization.

101330210213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 101330210213 its reverse (312012033101), we get a palindrome (413342243314).

The spelling of 101330210213 in words is "one hundred one billion, three hundred thirty million, two hundred ten thousand, two hundred thirteen".