12353131106413 has 2 divisors, whose sum is σ = 12353131106414. Its totient is φ = 12353131106412.

The previous prime is 12353131106369. The next prime is 12353131106431. The reversal of 12353131106413 is 31460113135321.

Together with next prime (12353131106431) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7178766379684 + 5174364726729 = 2679322^2 + 2274723^2 .

It is a cyclic number.

It is not a de Polignac number, because 12353131106413 - 2²⁵ = 12353097551981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12353131106513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6176565553206 + 6176565553207.

It is an arithmetic number, because the mean of its divisors is an integer number (6176565553207).

Almost surely, 2^{12353131106413} is an apocalyptic number.

It is an amenable number.

12353131106413 is a deficient number, since it is larger than the sum of its proper divisors (1).

12353131106413 is an equidigital number, since it uses as much as digits as its factorization.

12353131106413 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 34.

The spelling of 12353131106413 in words is "twelve trillion, three hundred fifty-three billion, one hundred thirty-one million, one hundred six thousand, four hundred thirteen".