12301113120349 has 2 divisors, whose sum is σ = 12301113120350. Its totient is φ = 12301113120348.

The previous prime is 12301113120347. The next prime is 12301113120383. The reversal of 12301113120349 is 94302131110321.

12301113120349 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., 12152942015449 + 148171104900 = 3486107^2 + 384930^2 .

It is a cyclic number.

It is not a de Polignac number, because 12301113120349 - 2¹ = 12301113120347 is a prime.

It is a super-2 number, since 2×12301113120349² (a number of 27 digits) contains 22 as substring.

Together with 12301113120347, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 12301113120349.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12301113120347) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6150556560174 + 6150556560175.

It is an arithmetic number, because the mean of its divisors is an integer number (6150556560175).

Almost surely, 2^{12301113120349} is an apocalyptic number.

It is an amenable number.

12301113120349 is a deficient number, since it is larger than the sum of its proper divisors (1).

12301113120349 is an equidigital number, since it uses as much as digits as its factorization.

12301113120349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 31.

The spelling of 12301113120349 in words is "twelve trillion, three hundred one billion, one hundred thirteen million, one hundred twenty thousand, three hundred forty-nine".