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12213330113 is a prime number
BaseRepresentation
bin10110101111111100…
…01010000011000001
31011112011112110020202
423113332022003001
5200003103030423
65335530014545
7611441410265
oct132776120301
934464473222
1012213330113
1151a8119756
12244a277455
1311c840836a
1483c0b00a5
154b735e728
hex2d7f8a0c1

12213330113 has 2 divisors, whose sum is σ = 12213330114. Its totient is φ = 12213330112.

The previous prime is 12213330109. The next prime is 12213330127. The reversal of 12213330113 is 31103331221.

12213330113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11437874704 + 775455409 = 106948^2 + 27847^2 .

It is an emirp because it is prime and its reverse (31103331221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12213330113 - 22 = 12213330109 is a prime.

It is a super-2 number, since 2×122133301132 (a number of 21 digits) contains 22 as substring.

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 (12213330133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6106665056 + 6106665057.

It is an arithmetic number, because the mean of its divisors is an integer number (6106665057).

Almost surely, 212213330113 is an apocalyptic number.

It is an amenable number.

12213330113 is a deficient number, since it is larger than the sum of its proper divisors (1).

12213330113 is an equidigital number, since it uses as much as digits as its factorization.

12213330113 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 12213330113 its reverse (31103331221), we get a palindrome (43316661334).

The spelling of 12213330113 in words is "twelve billion, two hundred thirteen million, three hundred thirty thousand, one hundred thirteen".