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10010311113317 is a prime number
BaseRepresentation
bin1001000110101011010100…
…0010011011101001100101
31022102222100210102002012012
42101222311002123221211
52303002104121111232
633142401244004005
72052135561353204
oct221526502335145
938388323362165
1010010311113317
11320a392723079
121158094b30605
13577c78434cc8
1426870471923b
151255d02a79b2
hex91ab509ba65

10010311113317 has 2 divisors, whose sum is σ = 10010311113318. Its totient is φ = 10010311113316.

The previous prime is 10010311113269. The next prime is 10010311113343. The reversal of 10010311113317 is 71331111301001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8091072159361 + 1919238953956 = 2844481^2 + 1385366^2 .

It is an emirp because it is prime and its reverse (71331111301001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10010311113317 - 212 = 10010311109221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10010311113292 and 10010311113301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10010311113377) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005155556658 + 5005155556659.

It is an arithmetic number, because the mean of its divisors is an integer number (5005155556659).

Almost surely, 210010311113317 is an apocalyptic number.

It is an amenable number.

10010311113317 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010311113317 is an equidigital number, since it uses as much as digits as its factorization.

10010311113317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189, while the sum is 23.

Adding to 10010311113317 its reverse (71331111301001), we get a palindrome (81341422414318).

The spelling of 10010311113317 in words is "ten trillion, ten billion, three hundred eleven million, one hundred thirteen thousand, three hundred seventeen".