1106556318041 has 2 divisors, whose sum is σ = 1106556318042. Its totient is φ = 1106556318040.

The previous prime is 1106556318019. The next prime is 1106556318053. The reversal of 1106556318041 is 1408136556011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 640096003600 + 466460314441 = 800060^2 + 682979^2 .

It is a cyclic number.

It is not a de Polignac number, because 1106556318041 - 2¹⁴ = 1106556301657 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1106556318041.

It is not a weakly prime, because it can be changed into another prime (1106556318341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 553278159020 + 553278159021.

It is an arithmetic number, because the mean of its divisors is an integer number (553278159021).

Almost surely, 2^{1106556318041} is an apocalyptic number.

It is an amenable number.

1106556318041 is a deficient number, since it is larger than the sum of its proper divisors (1).

1106556318041 is an equidigital number, since it uses as much as digits as its factorization.

1106556318041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 86400, while the sum is 41.

The spelling of 1106556318041 in words is "one trillion, one hundred six billion, five hundred fifty-six million, three hundred eighteen thousand, forty-one".