1100113020 has 144 divisors (see below), whose sum is σ = 3442158720. Its totient is φ = 284249088.

The previous prime is 1100113013. The next prime is 1100113037. The reversal of 1100113020 is 203110011.

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

It is a junction number, because it is equal to n+sod(n) for n = 1100112993 and 1100113011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 921544 + ... + 922736.

It is an arithmetic number, because the mean of its divisors is an integer number (23903880).

Almost surely, 2^1100113020 is an apocalyptic number.

1100113020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100113020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1721079360).

1100113020 is an abundant number, since it is smaller than the sum of its proper divisors (2342045700).

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

1100113020 is a wasteful number, since it uses less digits than its factorization.

1100113020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1359 counting only the distinct ones).

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

The square root of 1100113020 is about 33167.9517003990. The cubic root of 1100113020 is about 1032.3154682755.

Adding to 1100113020 its reverse (203110011), we get a palindrome (1303223031).

The spelling of 1100113020 in words is "one billion, one hundred million, one hundred thirteen thousand, twenty".