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13110321353 is a prime number
BaseRepresentation
bin11000011010110111…
…11010000011001001
31020211200101022220112
430031123322003021
5203322220240403
610004531404105
7642612615143
oct141533720311
936750338815
1013110321353
115618486528
12265a753635
13130c1ba3cc
148c5285c93
1551ae949d8
hex30d6fa0c9

13110321353 has 2 divisors, whose sum is σ = 13110321354. Its totient is φ = 13110321352.

The previous prime is 13110321283. The next prime is 13110321377. The reversal of 13110321353 is 35312301131.

13110321353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12591757369 + 518563984 = 112213^2 + 22772^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13110321353 is a prime.

It is not a weakly prime, because it can be changed into another prime (13110321853) 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, 6555160676 + 6555160677.

It is an arithmetic number, because the mean of its divisors is an integer number (6555160677).

Almost surely, 213110321353 is an apocalyptic number.

It is an amenable number.

13110321353 is a deficient number, since it is larger than the sum of its proper divisors (1).

13110321353 is an equidigital number, since it uses as much as digits as its factorization.

13110321353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 810, while the sum is 23.

Adding to 13110321353 its reverse (35312301131), we get a palindrome (48422622484).

The spelling of 13110321353 in words is "thirteen billion, one hundred ten million, three hundred twenty-one thousand, three hundred fifty-three".