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13101344153 is a prime number
BaseRepresentation
bin11000011001110011…
…01010010110011001
31020211001111020111122
430030321222112121
5203312421003103
610004011135025
7642443405432
oct141471522631
936731436448
1013101344153
115613404857
122657744475
13130a396261
148c3dca489
1551a2beb38
hex30ce6a599

13101344153 has 2 divisors, whose sum is σ = 13101344154. Its totient is φ = 13101344152.

The previous prime is 13101344147. The next prime is 13101344159. The reversal of 13101344153 is 35144310131.

13101344153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (13101344147) and next prime (13101344159).

It can be written as a sum of positive squares in only one way, i.e., 12573585424 + 527758729 = 112132^2 + 22973^2 .

It is a cyclic number.

It is not a de Polignac number, because 13101344153 - 26 = 13101344089 is a prime.

It is not a weakly prime, because it can be changed into another prime (13101344159) 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, 6550672076 + 6550672077.

It is an arithmetic number, because the mean of its divisors is an integer number (6550672077).

Almost surely, 213101344153 is an apocalyptic number.

It is an amenable number.

13101344153 is a deficient number, since it is larger than the sum of its proper divisors (1).

13101344153 is an equidigital number, since it uses as much as digits as its factorization.

13101344153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 26.

Adding to 13101344153 its reverse (35144310131), we get a palindrome (48245654284).

The spelling of 13101344153 in words is "thirteen billion, one hundred one million, three hundred forty-four thousand, one hundred fifty-three".