1031123112113 has 2 divisors, whose sum is σ = 1031123112114. Its totient is φ = 1031123112112.

The previous prime is 1031123112091. The next prime is 1031123112143. The reversal of 1031123112113 is 3112113211301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1030970144689 + 152967424 = 1015367^2 + 12368^2 .

It is a cyclic number.

It is not a de Polignac number, because 1031123112113 - 2¹⁰ = 1031123111089 is a prime.

It is not a weakly prime, because it can be changed into another prime (1031123112143) 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, 515561556056 + 515561556057.

It is an arithmetic number, because the mean of its divisors is an integer number (515561556057).

Almost surely, 2^{1031123112113} is an apocalyptic number.

It is an amenable number.

1031123112113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1031123112113 is an equidigital number, since it uses as much as digits as its factorization.

1031123112113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 1031123112113 its reverse (3112113211301), we get a palindrome (4143236323414).

The spelling of 1031123112113 in words is "one trillion, thirty-one billion, one hundred twenty-three million, one hundred twelve thousand, one hundred thirteen".