10112010111113 has 2 divisors, whose sum is σ = 10112010111114. Its totient is φ = 10112010111112.

The previous prime is 10112010111059. The next prime is 10112010111169. The reversal of 10112010111113 is 31111101021101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8230317535609 + 1881692575504 = 2868853^2 + 1371748^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10112010111113 is a prime.

It is not a weakly prime, because it can be changed into another prime (10112010111013) 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, 5056005055556 + 5056005055557.

It is an arithmetic number, because the mean of its divisors is an integer number (5056005055557).

Almost surely, 2^{10112010111113} is an apocalyptic number.

It is an amenable number.

10112010111113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112010111113 is an equidigital number, since it uses as much as digits as its factorization.

10112010111113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 14.

Adding to 10112010111113 its reverse (31111101021101), we get a palindrome (41223111132214).

The spelling of 10112010111113 in words is "ten trillion, one hundred twelve billion, ten million, one hundred eleven thousand, one hundred thirteen".