1033320100 has 72 divisors (see below), whose sum is σ = 2333913120. Its totient is φ = 396775680.

The previous prime is 1033320097. The next prime is 1033320107. The reversal of 1033320100 is 10233301.

1033320100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1033320107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251664 + ... + 255736.

It is an arithmetic number, because the mean of its divisors is an integer number (32415460).

Almost surely, 2^1033320100 is an apocalyptic number.

1033320100 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 1033320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166956560).

1033320100 is an abundant number, since it is smaller than the sum of its proper divisors (1300593020).

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

1033320100 is a wasteful number, since it uses less digits than its factorization.

1033320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4189 (or 4182 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 1033320100 is about 32145.2967010728. The cubic root of 1033320100 is about 1010.9855752137.

Adding to 1033320100 its reverse (10233301), we get a palindrome (1043553401).

The spelling of 1033320100 in words is "one billion, thirty-three million, three hundred twenty thousand, one hundred".