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18100713313 is a prime number
BaseRepresentation
bin10000110110111000…
…101111011101100001
31201201110200111201101
4100312320233131201
5244032240311223
612152041034401
71210360344634
oct206670573541
951643614641
1018100713313
117749420901
123611a85a01
131926063967
14c39d65c1b
1570e14e4ad
hex436e2f761

18100713313 has 2 divisors, whose sum is σ = 18100713314. Its totient is φ = 18100713312.

The previous prime is 18100713311. The next prime is 18100713317. The reversal of 18100713313 is 31331700181.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10668204369 + 7432508944 = 103287^2 + 86212^2 .

It is an emirp because it is prime and its reverse (31331700181) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 18100713313 - 21 = 18100713311 is a prime.

Together with 18100713311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (18100713311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9050356656 + 9050356657.

It is an arithmetic number, because the mean of its divisors is an integer number (9050356657).

Almost surely, 218100713313 is an apocalyptic number.

It is an amenable number.

18100713313 is a deficient number, since it is larger than the sum of its proper divisors (1).

18100713313 is an equidigital number, since it uses as much as digits as its factorization.

18100713313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 28.

The spelling of 18100713313 in words is "eighteen billion, one hundred million, seven hundred thirteen thousand, three hundred thirteen".