1100013120 has 84 divisors (see below), whose sum is σ = 3783596700. Its totient is φ = 293336064.

The previous prime is 1100013053. The next prime is 1100013127. The reversal of 1100013120 is 213100011.

It can be written as a sum of positive squares in 2 ways, for example, as 872847936 + 227165184 = 29544^2 + 15072^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1100013127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188095 + ... + 193854.

Almost surely, 2^1100013120 is an apocalyptic number.

1100013120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100013120 is an abundant number, since it is smaller than the sum of its proper divisors (2683583580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1100013120 is a wasteful number, since it uses less digits than its factorization.

1100013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381972 (or 381959 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1100013120 is about 33166.4456944063. The cubic root of 1100013120 is about 1032.2842195355.

Adding to 1100013120 its reverse (213100011), we get a palindrome (1313113131).

The spelling of 1100013120 in words is "one billion, one hundred million, thirteen thousand, one hundred twenty".