1003313220 has 144 divisors (see below), whose sum is σ = 3519448128. Its totient is φ = 211680000.

The previous prime is 1003313189. The next prime is 1003313237. The reversal of 1003313220 is 223133001.

1003313220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1003313220.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25095 + ... + 51345.

It is an arithmetic number, because the mean of its divisors is an integer number (24440612).

Almost surely, 2^1003313220 is an apocalyptic number.

1003313220 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 1003313220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759724064).

1003313220 is an abundant number, since it is smaller than the sum of its proper divisors (2516134908).

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

1003313220 is a wasteful number, since it uses less digits than its factorization.

1003313220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26290 (or 26281 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1003313220 is about 31675.1198892759. The cubic root of 1003313220 is about 1001.1031891927.

Adding to 1003313220 its reverse (223133001), we get a palindrome (1226446221).

The spelling of 1003313220 in words is "one billion, three million, three hundred thirteen thousand, two hundred twenty".