1001103312 has 160 divisors (see below), whose sum is σ = 3012664320. Its totient is φ = 283253760.

The previous prime is 1001103289. The next prime is 1001103319. The reversal of 1001103312 is 2133011001.

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 (1001103319) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 731653 + ... + 733019.

It is an arithmetic number, because the mean of its divisors is an integer number (18829152).

Almost surely, 2^1001103312 is an apocalyptic number.

1001103312 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 1001103312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506332160).

1001103312 is an abundant number, since it is smaller than the sum of its proper divisors (2011561008).

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

1001103312 is a wasteful number, since it uses less digits than its factorization.

1001103312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1475 counting only the distinct ones).

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

The square root of 1001103312 is about 31640.2166869950. The cubic root of 1001103312 is about 1000.3676354942.

Adding to 1001103312 its reverse (2133011001), we get a palindrome (3134114313).

The spelling of 1001103312 in words is "one billion, one million, one hundred three thousand, three hundred twelve".