1012110012113 has 2 divisors, whose sum is σ = 1012110012114. Its totient is φ = 1012110012112.

The previous prime is 1012110012101. The next prime is 1012110012127. The reversal of 1012110012113 is 3112100112101.

It is an a-pointer prime, because the next prime (1012110012127) can be obtained adding 1012110012113 to its sum of digits (14).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1005150615184 + 6959396929 = 1002572^2 + 83423^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012110012113 - 2¹⁶ = 1012109946577 is a prime.

It is not a weakly prime, because it can be changed into another prime (1012110012713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506055006056 + 506055006057.

It is an arithmetic number, because the mean of its divisors is an integer number (506055006057).

Almost surely, 2^{1012110012113} is an apocalyptic number.

It is an amenable number.

1012110012113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012110012113 is an equidigital number, since it uses as much as digits as its factorization.

1012110012113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 1012110012113 its reverse (3112100112101), we get a palindrome (4124210124214).

The spelling of 1012110012113 in words is "one trillion, twelve billion, one hundred ten million, twelve thousand, one hundred thirteen".