1003112320 has 192 divisors, whose sum is σ = 2888395200. Its totient is φ = 331763712.

The previous prime is 1003112309. The next prime is 1003112321. The reversal of 1003112320 is 232113001.

It is a self number, because there is not a number n which added to its sum of digits gives 1003112320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003112321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 908889 + ... + 909991.

It is an arithmetic number, because the mean of its divisors is an integer number (15043725).

Almost surely, 2^1003112320 is an apocalyptic number.

1003112320 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 1003112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444197600).

1003112320 is an abundant number, since it is smaller than the sum of its proper divisors (1885282880).

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

1003112320 is a wasteful number, since it uses less digits than its factorization.

1003112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1003112320 is about 31671.9484717944. The cubic root of 1003112320 is about 1001.0363655754.

Adding to 1003112320 its reverse (232113001), we get a palindrome (1235225321).

The spelling of 1003112320 in words is "one billion, three million, one hundred twelve thousand, three hundred twenty".