312134121141113 has 2 divisors, whose sum is σ = 312134121141114. Its totient is φ = 312134121141112.

The previous prime is 312134121141107. The next prime is 312134121141119. The reversal of 312134121141113 is 311141121431213.

It is a balanced prime because it is at equal distance from previous prime (312134121141107) and next prime (312134121141119).

It can be written as a sum of positive squares in only one way, i.e., 297689887630864 + 14444233510249 = 17253692^2 + 3800557^2 .

It is a cyclic number.

It is not a de Polignac number, because 312134121141113 - 2¹⁶ = 312134121075577 is a prime.

It is not a weakly prime, because it can be changed into another prime (312134121141119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156067060570556 + 156067060570557.

It is an arithmetic number, because the mean of its divisors is an integer number (156067060570557).

Almost surely, 2^{312134121141113} is an apocalyptic number.

It is an amenable number.

312134121141113 is a deficient number, since it is larger than the sum of its proper divisors (1).

312134121141113 is an equidigital number, since it uses as much as digits as its factorization.

312134121141113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1728, while the sum is 29.

Adding to 312134121141113 its reverse (311141121431213), we get a palindrome (623275242572326).

The spelling of 312134121141113 in words is "three hundred twelve trillion, one hundred thirty-four billion, one hundred twenty-one million, one hundred forty-one thousand, one hundred thirteen".