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12330000013 is a prime number
BaseRepresentation
bin10110111101110110…
…01101111010001101
31011211022001220021011
423132323031322031
5200222440000023
65355254405221
7614356161622
oct133673157215
934738056234
1012330000013
115257a66561
122481360811
1312166375c6
1484d7a0349
154c270850d
hex2deecde8d

12330000013 has 2 divisors, whose sum is σ = 12330000014. Its totient is φ = 12330000012.

The previous prime is 12329999999. The next prime is 12330000019. The reversal of 12330000013 is 31000003321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9265602564 + 3064397449 = 96258^2 + 55357^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12330000013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12329999948 and 12330000002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12330000019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6165000006 + 6165000007.

It is an arithmetic number, because the mean of its divisors is an integer number (6165000007).

Almost surely, 212330000013 is an apocalyptic number.

It is an amenable number.

12330000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12330000013 is an equidigital number, since it uses as much as digits as its factorization.

12330000013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 12330000013 its reverse (31000003321), we get a palindrome (43330003334).

The spelling of 12330000013 in words is "twelve billion, three hundred thirty million, thirteen", and thus it is an aban number.