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12300211321213 is a prime number
BaseRepresentation
bin1011001011111101110110…
…1110011111100101111101
31121112212222212122100202011
42302333131232133211331
53103011313044234323
642054350012331221
72406442463103604
oct262773556374575
947485885570664
1012300211321213
113a12543696932
121467a43a73b11
136b2b9c23a81a
14307494c0ca3b
15164e53e2320d
hexb2fddb9f97d

12300211321213 has 2 divisors, whose sum is σ = 12300211321214. Its totient is φ = 12300211321212.

The previous prime is 12300211321187. The next prime is 12300211321219. The reversal of 12300211321213 is 31212311200321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11689034479929 + 611176841284 = 3418923^2 + 781778^2 .

It is an emirp because it is prime and its reverse (31212311200321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12300211321213 - 29 = 12300211320701 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12300211321219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6150105660606 + 6150105660607.

It is an arithmetic number, because the mean of its divisors is an integer number (6150105660607).

Almost surely, 212300211321213 is an apocalyptic number.

It is an amenable number.

12300211321213 is a deficient number, since it is larger than the sum of its proper divisors (1).

12300211321213 is an equidigital number, since it uses as much as digits as its factorization.

12300211321213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 12300211321213 its reverse (31212311200321), we get a palindrome (43512522521534).

The spelling of 12300211321213 in words is "twelve trillion, three hundred billion, two hundred eleven million, three hundred twenty-one thousand, two hundred thirteen".