1085118188321 has 2 divisors, whose sum is σ = 1085118188322. Its totient is φ = 1085118188320.

The previous prime is 1085118188309. The next prime is 1085118188351. The reversal of 1085118188321 is 1238818115801.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1083495709921 + 1622478400 = 1040911^2 + 40280^2 .

It is a cyclic number.

It is not a de Polignac number, because 1085118188321 - 2⁶ = 1085118188257 is a prime.

It is not a weakly prime, because it can be changed into another prime (1085118188351) 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, 542559094160 + 542559094161.

It is an arithmetic number, because the mean of its divisors is an integer number (542559094161).

Almost surely, 2^{1085118188321} is an apocalyptic number.

It is an amenable number.

1085118188321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1085118188321 is an equidigital number, since it uses as much as digits as its factorization.

1085118188321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 122880, while the sum is 47.

The spelling of 1085118188321 in words is "one trillion, eighty-five billion, one hundred eighteen million, one hundred eighty-eight thousand, three hundred twenty-one".