1000113123303 has 64 divisors (see below), whose sum is σ = 1698456371200. Its totient is φ = 569760156000.

The previous prime is 1000113123253. The next prime is 1000113123319. The reversal of 1000113123303 is 3033213110001.

It is a happy number.

1000113123303 is a `hidden beast` number, since 10 + 0 + 0 + 11 + 312 + 330 + 3 = 666.

It is not a de Polignac number, because 1000113123303 - 2⁶ = 1000113123239 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000113123323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87854550 + ... + 87865932.

It is an arithmetic number, because the mean of its divisors is an integer number (26538380800).

Almost surely, 2^{1000113123303} is an apocalyptic number.

1000113123303 is a deficient number, since it is larger than the sum of its proper divisors (698343247897).

1000113123303 is a wasteful number, since it uses less digits than its factorization.

1000113123303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12769 (or 12763 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1000113123303 its reverse (3033213110001), we get a palindrome (4033326233304).

The spelling of 1000113123303 in words is "one trillion, one hundred thirteen million, one hundred twenty-three thousand, three hundred three".