111312031013093 has 2 divisors, whose sum is σ = 111312031013094. Its totient is φ = 111312031013092.

The previous prime is 111312031013059. The next prime is 111312031013101. The reversal of 111312031013093 is 390310130213111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96274519793764 + 15037511219329 = 9811958^2 + 3877823^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111312031013093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111312031043093) 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, 55656015506546 + 55656015506547.

It is an arithmetic number, because the mean of its divisors is an integer number (55656015506547).

Almost surely, 2^{111312031013093} is an apocalyptic number.

It is an amenable number.

111312031013093 is a deficient number, since it is larger than the sum of its proper divisors (1).

111312031013093 is an equidigital number, since it uses as much as digits as its factorization.

111312031013093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 29.

The spelling of 111312031013093 in words is "one hundred eleven trillion, three hundred twelve billion, thirty-one million, thirteen thousand, ninety-three".