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12132130313 is a prime number
BaseRepresentation
bin10110100110010000…
…11001111000001001
31011022111202002001202
423103020121320021
5144321311132223
65323505353545
7606434256212
oct132310317011
934274662052
1012132130313
1151662a9086
1224270388b5
1311b4647b44
148313b4409
154b0170428
hex2d3219e09

12132130313 has 2 divisors, whose sum is σ = 12132130314. Its totient is φ = 12132130312.

The previous prime is 12132130247. The next prime is 12132130331. The reversal of 12132130313 is 31303123121.

Together with next prime (12132130331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7893078649 + 4239051664 = 88843^2 + 65108^2 .

It is an emirp because it is prime and its reverse (31303123121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12132130313 - 220 = 12131081737 is a prime.

It is a super-3 number, since 3×121321303133 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (12132130013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6066065156 + 6066065157.

It is an arithmetic number, because the mean of its divisors is an integer number (6066065157).

Almost surely, 212132130313 is an apocalyptic number.

It is an amenable number.

12132130313 is a deficient number, since it is larger than the sum of its proper divisors (1).

12132130313 is an equidigital number, since it uses as much as digits as its factorization.

12132130313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 12132130313 its reverse (31303123121), we get a palindrome (43435253434).

The spelling of 12132130313 in words is "twelve billion, one hundred thirty-two million, one hundred thirty thousand, three hundred thirteen".