1003321312 has 48 divisors (see below), whose sum is σ = 2272499712. Its totient is φ = 427132800.

The previous prime is 1003321309. The next prime is 1003321327. The reversal of 1003321312 is 2131233001.

It is a super-2 number, since 2×1003321312² = 2013307310226802688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18993 + ... + 48655.

It is an arithmetic number, because the mean of its divisors is an integer number (47343744).

Almost surely, 2^1003321312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136249856).

1003321312 is an abundant number, since it is smaller than the sum of its proper divisors (1269178400).

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

1003321312 is a wasteful number, since it uses less digits than its factorization.

1003321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29831 (or 29823 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1003321312 is about 31675.2476233415. The cubic root of 1003321312 is about 1001.1058805773.

Adding to 1003321312 its reverse (2131233001), we get a palindrome (3134554313).

The spelling of 1003321312 in words is "one billion, three million, three hundred twenty-one thousand, three hundred twelve".