1100213120 has 64 divisors (see below), whose sum is σ = 2674868400. Its totient is φ = 432611328.

The previous prime is 1100213017. The next prime is 1100213129. The reversal of 1100213120 is 213120011.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100213129) 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 7 ways as a sum of consecutive naturals, for example, 23192 + ... + 52328.

Almost surely, 2^1100213120 is an apocalyptic number.

1100213120 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 1100213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337434200).

1100213120 is an abundant number, since it is smaller than the sum of its proper divisors (1574655280).

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

1100213120 is an equidigital number, since it uses as much as digits as its factorization.

1100213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29215 (or 29203 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1100213120 is about 33169.4606528355. The cubic root of 1100213120 is about 1032.3467776781.

Adding to 1100213120 its reverse (213120011), we get a palindrome (1313333131).

The spelling of 1100213120 in words is "one billion, one hundred million, two hundred thirteen thousand, one hundred twenty".