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201020103013 is a prime number
BaseRepresentation
bin1011101100110110111…
…0110101100101100101
3201012212102210021202111
42323031232311211211
511243142121244023
6232203010241021
720344315453162
oct2731556654545
9635772707674
10201020103013
1178285675744
1232b61286171
1315c57777622
149a2d783069
155367cc700d
hex2ecdbb5965

201020103013 has 2 divisors, whose sum is σ = 201020103014. Its totient is φ = 201020103012.

The previous prime is 201020103001. The next prime is 201020103071. The reversal of 201020103013 is 310301020102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111952475649 + 89067627364 = 334593^2 + 298442^2 .

It is a cyclic number.

It is not a de Polignac number, because 201020103013 - 217 = 201019971941 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201020102984 and 201020103002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201020103313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100510051506 + 100510051507.

It is an arithmetic number, because the mean of its divisors is an integer number (100510051507).

Almost surely, 2201020103013 is an apocalyptic number.

It is an amenable number.

201020103013 is a deficient number, since it is larger than the sum of its proper divisors (1).

201020103013 is an equidigital number, since it uses as much as digits as its factorization.

201020103013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 201020103013 its reverse (310301020102), we get a palindrome (511321123115).

The spelling of 201020103013 in words is "two hundred one billion, twenty million, one hundred three thousand, thirteen".