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12121204313 is a prime number
BaseRepresentation
bin10110100100111101…
…01110011001011001
31011021202011222102002
423102132232121121
5144311012014223
65322435250345
7606242352041
oct132236563131
934252158362
1012121204313
115160116229
1224234499b5
1311b22c095a
1482db6c721
154ae212e28
hex2d27ae659

12121204313 has 2 divisors, whose sum is σ = 12121204314. Its totient is φ = 12121204312.

The previous prime is 12121204301. The next prime is 12121204331. The reversal of 12121204313 is 31340212121.

Together with next prime (12121204331) 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., 8278816144 + 3842388169 = 90988^2 + 61987^2 .

It is a cyclic number.

It is not a de Polignac number, because 12121204313 - 24 = 12121204297 is a prime.

It is not a weakly prime, because it can be changed into another prime (12121204343) 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, 6060602156 + 6060602157.

It is an arithmetic number, because the mean of its divisors is an integer number (6060602157).

Almost surely, 212121204313 is an apocalyptic number.

It is an amenable number.

12121204313 is a deficient number, since it is larger than the sum of its proper divisors (1).

12121204313 is an equidigital number, since it uses as much as digits as its factorization.

12121204313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12121204313 its reverse (31340212121), we get a palindrome (43461416434).

The spelling of 12121204313 in words is "twelve billion, one hundred twenty-one million, two hundred four thousand, three hundred thirteen".