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13113210013 is a prime number
BaseRepresentation
bin11000011011001101…
…11011010010011101
31020211212211002101221
430031212323102131
5203323440210023
610005113333341
7642646305661
oct141546732235
936755732357
1013113210013
11561a079852
12265b707251
13130c98c187
148c57d88a1
1551b36585d
hex30d9bb49d

13113210013 has 2 divisors, whose sum is σ = 13113210014. Its totient is φ = 13113210012.

The previous prime is 13113209999. The next prime is 13113210109. The reversal of 13113210013 is 31001231131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9630085689 + 3483124324 = 98133^2 + 59018^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13113210013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13113213013) 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, 6556605006 + 6556605007.

It is an arithmetic number, because the mean of its divisors is an integer number (6556605007).

Almost surely, 213113210013 is an apocalyptic number.

It is an amenable number.

13113210013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13113210013 is an equidigital number, since it uses as much as digits as its factorization.

13113210013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 13113210013 its reverse (31001231131), we get a palindrome (44114441144).

The spelling of 13113210013 in words is "thirteen billion, one hundred thirteen million, two hundred ten thousand, thirteen".