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13120310321 is a prime number
BaseRepresentation
bin11000011100000100…
…00000110000110001
31020212101011211012022
430032002000300301
5203332244412241
610005525441225
7643063540406
oct141602006061
936771154168
1013120310321
115623089378
122661b70215
1313112a6c41
148c67262ad
1551bcb954b
hex30e080c31

13120310321 has 2 divisors, whose sum is σ = 13120310322. Its totient is φ = 13120310320.

The previous prime is 13120310311. The next prime is 13120310339. The reversal of 13120310321 is 12301302131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12692275600 + 428034721 = 112660^2 + 20689^2 .

It is an emirp because it is prime and its reverse (12301302131) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13120310321 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13120310321.

It is not a weakly prime, because it can be changed into another prime (13120310311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6560155160 + 6560155161.

It is an arithmetic number, because the mean of its divisors is an integer number (6560155161).

Almost surely, 213120310321 is an apocalyptic number.

It is an amenable number.

13120310321 is a deficient number, since it is larger than the sum of its proper divisors (1).

13120310321 is an equidigital number, since it uses as much as digits as its factorization.

13120310321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 13120310321 its reverse (12301302131), we get a palindrome (25421612452).

The spelling of 13120310321 in words is "thirteen billion, one hundred twenty million, three hundred ten thousand, three hundred twenty-one".