1100013220 has 96 divisors (see below), whose sum is σ = 2502130176. Its totient is φ = 404736000.

The previous prime is 1100013217. The next prime is 1100013223. The reversal of 1100013220 is 223100011.

It is an interprime number because it is at equal distance from previous prime (1100013217) and next prime (1100013223).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1100013197 and 1100013206.

It is not an unprimeable number, because it can be changed into a prime (1100013223) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3536865 + ... + 3537175.

It is an arithmetic number, because the mean of its divisors is an integer number (26063856).

Almost surely, 2^1100013220 is an apocalyptic number.

1100013220 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 1100013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251065088).

1100013220 is an abundant number, since it is smaller than the sum of its proper divisors (1402116956).

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

1100013220 is a wasteful number, since it uses less digits than its factorization.

1100013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1100013220 is about 33166.4472019540. The cubic root of 1100013220 is about 1032.2842508165.

Adding to 1100013220 its reverse (223100011), we get a palindrome (1323113231).

The spelling of 1100013220 in words is "one billion, one hundred million, thirteen thousand, two hundred twenty".