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11023031001313 is a prime number
BaseRepresentation
bin1010000001100111111111…
…0110001110000011100001
31110000210100222112202201001
42200121333312032003201
52421100131414020223
635235524401512001
72215246661361622
oct240317766160341
943023328482631
1011023031001313
11356a9286a30a1
1212a0406942601
1361c60ca48b96
142a1736213a49
15141b0358e9ad
hexa067fd8e0e1

11023031001313 has 2 divisors, whose sum is σ = 11023031001314. Its totient is φ = 11023031001312.

The previous prime is 11023031001299. The next prime is 11023031001329. The reversal of 11023031001313 is 31310013032011.

11023031001313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6961064854689 + 4061966146624 = 2638383^2 + 2015432^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11023031001313 is a prime.

It is a super-3 number, since 3×110230310013133 (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (11023031001413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5511515500656 + 5511515500657.

It is an arithmetic number, because the mean of its divisors is an integer number (5511515500657).

Almost surely, 211023031001313 is an apocalyptic number.

It is an amenable number.

11023031001313 is a deficient number, since it is larger than the sum of its proper divisors (1).

11023031001313 is an equidigital number, since it uses as much as digits as its factorization.

11023031001313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 11023031001313 its reverse (31310013032011), we get a palindrome (42333044033324).

The spelling of 11023031001313 in words is "eleven trillion, twenty-three billion, thirty-one million, one thousand, three hundred thirteen".