1003113012 has 96 divisors (see below), whose sum is σ = 2619477504. Its totient is φ = 296208000.

The previous prime is 1003112989. The next prime is 1003113019. The reversal of 1003113012 is 2103113001.

1003113012 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 (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003113019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 892683 + ... + 893805.

It is an arithmetic number, because the mean of its divisors is an integer number (27286224).

Almost surely, 2^1003113012 is an apocalyptic number.

1003113012 is a gapful number since it is divisible by the number (12) 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 1003113012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309738752).

1003113012 is an abundant number, since it is smaller than the sum of its proper divisors (1616364492).

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

1003113012 is a wasteful number, since it uses less digits than its factorization.

1003113012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1003113012 is about 31671.9593962862. The cubic root of 1003113012 is about 1001.0365957646.

Adding to 1003113012 its reverse (2103113001), we get a palindrome (3106226013).

The spelling of 1003113012 in words is "one billion, three million, one hundred thirteen thousand, twelve".