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10213323013 is a prime number
BaseRepresentation
bin10011000001100001…
…01111000100000101
3222100210011120021201
421200300233010011
5131404102314023
64405242542501
7511044545635
oct114060570405
928323146251
1010213323013
114371177823
121b90507a31
13c69c5a9ca
146cc6126c5
153eb999bad
hex260c2f105

10213323013 has 2 divisors, whose sum is σ = 10213323014. Its totient is φ = 10213323012.

The previous prime is 10213322989. The next prime is 10213323079. The reversal of 10213323013 is 31032331201.

10213323013 is digitally balanced in base 3, 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., 7524174564 + 2689148449 = 86742^2 + 51857^2 .

It is a cyclic number.

It is not a de Polignac number, because 10213323013 - 29 = 10213322501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10213323613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5106661506 + 5106661507.

It is an arithmetic number, because the mean of its divisors is an integer number (5106661507).

Almost surely, 210213323013 is an apocalyptic number.

It is an amenable number.

10213323013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10213323013 is an equidigital number, since it uses as much as digits as its factorization.

10213323013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 10213323013 its reverse (31032331201), we get a palindrome (41245654214).

The spelling of 10213323013 in words is "ten billion, two hundred thirteen million, three hundred twenty-three thousand, thirteen".