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10130323013 is a prime number
BaseRepresentation
bin10010110111101000…
…00111011001000101
3222010222222201200122
421123310013121011
5131221330314023
64353115551325
7506016216266
oct113364073105
928128881618
1010130323013
114329337688
121b6875b545
13c559b9c95
146c15a896d
153e45522c8
hex25bd07645

10130323013 has 2 divisors, whose sum is σ = 10130323014. Its totient is φ = 10130323012.

The previous prime is 10130322997. The next prime is 10130323033. The reversal of 10130323013 is 31032303101.

10130323013 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., 7210217569 + 2920105444 = 84913^2 + 54038^2 .

It is a cyclic number.

It is not a de Polignac number, because 10130323013 - 24 = 10130322997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10130322982 and 10130323000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10130323033) 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, 5065161506 + 5065161507.

It is an arithmetic number, because the mean of its divisors is an integer number (5065161507).

Almost surely, 210130323013 is an apocalyptic number.

It is an amenable number.

10130323013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10130323013 is an equidigital number, since it uses as much as digits as its factorization.

10130323013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 10130323013 its reverse (31032303101), we get a palindrome (41162626114).

The spelling of 10130323013 in words is "ten billion, one hundred thirty million, three hundred twenty-three thousand, thirteen".