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12300121213013 is a prime number
BaseRepresentation
bin1011001011111101100001…
…0110110000100001010101
31121112212202121002101112102
42302333120112300201111
53103011122012304023
642054333033131445
72406440320150514
oct262773026604125
947485677071472
1012300121213013
113a124a7841247
121467a19859b85
136b2b8667b56a
14307486c7467b
15164e4b074628
hexb2fd85b0855

12300121213013 has 2 divisors, whose sum is σ = 12300121213014. Its totient is φ = 12300121213012.

The previous prime is 12300121212971. The next prime is 12300121213043. The reversal of 12300121213013 is 31031212100321.

It is a happy number.

12300121213013 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., 12145343490289 + 154777722724 = 3485017^2 + 393418^2 .

It is a cyclic number.

It is not a de Polignac number, because 12300121213013 - 240 = 11200609585237 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12300121213043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6150060606506 + 6150060606507.

It is an arithmetic number, because the mean of its divisors is an integer number (6150060606507).

Almost surely, 212300121213013 is an apocalyptic number.

It is an amenable number.

12300121213013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12300121213013 is an equidigital number, since it uses as much as digits as its factorization.

12300121213013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 12300121213013 its reverse (31031212100321), we get a palindrome (43331333313334).

The spelling of 12300121213013 in words is "twelve trillion, three hundred billion, one hundred twenty-one million, two hundred thirteen thousand, thirteen".