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12130200013 is a prime number
BaseRepresentation
bin10110100110000010…
…00010100111001101
31011022101010000012011
423103001002213031
5144320312400023
65323400141221
7606411666421
oct132301024715
934271100164
1012130200013
1151651aa898
122426467811
1311b4120359
14831030b81
154aeddd50d
hex2d30429cd

12130200013 has 2 divisors, whose sum is σ = 12130200014. Its totient is φ = 12130200012.

The previous prime is 12130200007. The next prime is 12130200031. The reversal of 12130200013 is 31000203121.

Together with next prime (12130200031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11927479369 + 202720644 = 109213^2 + 14238^2 .

It is a cyclic number.

It is not a de Polignac number, because 12130200013 - 25 = 12130199981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12130199966 and 12130200002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12130200053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6065100006 + 6065100007.

It is an arithmetic number, because the mean of its divisors is an integer number (6065100007).

Almost surely, 212130200013 is an apocalyptic number.

It is an amenable number.

12130200013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12130200013 is an equidigital number, since it uses as much as digits as its factorization.

12130200013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 12130200013 its reverse (31000203121), we get a palindrome (43130403134).

The spelling of 12130200013 in words is "twelve billion, one hundred thirty million, two hundred thousand, thirteen".