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12302112131213 is a prime number
BaseRepresentation
bin1011001100000100111100…
…0001100000100010001101
31121120001220100100111212112
42303001033001200202031
53103024211201144323
642055302353313405
72406540543525662
oct263011701404215
947501810314775
1012302112131213
113a13329645593
121468294565865
136b3112c95c78
143075d5447a69
15165015c41178
hexb304f06088d

12302112131213 has 2 divisors, whose sum is σ = 12302112131214. Its totient is φ = 12302112131212.

The previous prime is 12302112131189. The next prime is 12302112131251. The reversal of 12302112131213 is 31213121120321.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7539648288964 + 4762463842249 = 2745842^2 + 2182307^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12302112131213 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12302112136213) 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, 6151056065606 + 6151056065607.

It is an arithmetic number, because the mean of its divisors is an integer number (6151056065607).

Almost surely, 212302112131213 is an apocalyptic number.

It is an amenable number.

12302112131213 is a deficient number, since it is larger than the sum of its proper divisors (1).

12302112131213 is an equidigital number, since it uses as much as digits as its factorization.

12302112131213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 12302112131213 its reverse (31213121120321), we get a palindrome (43515233251534).

The spelling of 12302112131213 in words is "twelve trillion, three hundred two billion, one hundred twelve million, one hundred thirty-one thousand, two hundred thirteen".