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12121312213 is a prime number
BaseRepresentation
bin10110100100111110…
…01000101111010101
31011021202101110102101
423102133020233111
5144311023442323
65322441442101
7606243311443
oct132237105725
934252343371
1012121312213
11516018a2aa
1224234a0331
1311b232aaba
1482db99b93
154ae234dad
hex2d27c8bd5

12121312213 has 2 divisors, whose sum is σ = 12121312214. Its totient is φ = 12121312212.

The previous prime is 12121312211. The next prime is 12121312237. The reversal of 12121312213 is 31221312121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11884706289 + 236605924 = 109017^2 + 15382^2 .

It is a cyclic number.

It is not a de Polignac number, because 12121312213 - 21 = 12121312211 is a prime.

Together with 12121312211, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12121312211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6060656106 + 6060656107.

It is an arithmetic number, because the mean of its divisors is an integer number (6060656107).

Almost surely, 212121312213 is an apocalyptic number.

It is an amenable number.

12121312213 is a deficient number, since it is larger than the sum of its proper divisors (1).

12121312213 is an equidigital number, since it uses as much as digits as its factorization.

12121312213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 144, while the sum is 19.

Adding to 12121312213 its reverse (31221312121), we get a palindrome (43342624334).

The spelling of 12121312213 in words is "twelve billion, one hundred twenty-one million, three hundred twelve thousand, two hundred thirteen".