11103302300193 has 24 divisors (see below), whose sum is σ = 16053469865160. Its totient is φ = 7395110784000.

The previous prime is 11103302300177. The next prime is 11103302300239. The reversal of 11103302300193 is 39100320330111.

11103302300193 is a `hidden beast` number, since 1 + 1 + 10 + 330 + 2 + 300 + 19 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 709177884129 + 10394124416064 = 842127^2 + 3223992^2 .

It is not a de Polignac number, because 11103302300193 - 2⁴ = 11103302300177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11103302300593) 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 in 23 ways as a sum of consecutive naturals, for example, 96586293 + ... + 96701181.

It is an arithmetic number, because the mean of its divisors is an integer number (668894577715).

Almost surely, 2^{11103302300193} is an apocalyptic number.

It is an amenable number.

11103302300193 is a deficient number, since it is larger than the sum of its proper divisors (4950167564967).

11103302300193 is a wasteful number, since it uses less digits than its factorization.

11103302300193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125089 (or 125086 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The spelling of 11103302300193 in words is "eleven trillion, one hundred three billion, three hundred two million, three hundred thousand, one hundred ninety-three".