12053123322313 has 2 divisors, whose sum is σ = 12053123322314. Its totient is φ = 12053123322312.

The previous prime is 12053123322311. The next prime is 12053123322347. The reversal of 12053123322313 is 31322332135021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6614582165689 + 5438541156624 = 2571883^2 + 2332068^2 .

It is a cyclic number.

It is not a de Polignac number, because 12053123322313 - 2¹ = 12053123322311 is a prime.

Together with 12053123322311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (12053123322311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6026561661156 + 6026561661157.

It is an arithmetic number, because the mean of its divisors is an integer number (6026561661157).

Almost surely, 2^{12053123322313} is an apocalyptic number.

It is an amenable number.

12053123322313 is a deficient number, since it is larger than the sum of its proper divisors (1).

12053123322313 is an equidigital number, since it uses as much as digits as its factorization.

12053123322313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19440, while the sum is 31.

Adding to 12053123322313 its reverse (31322332135021), we get a palindrome (43375455457334).

The spelling of 12053123322313 in words is "twelve trillion, fifty-three billion, one hundred twenty-three million, three hundred twenty-two thousand, three hundred thirteen".