1100013312 has 72 divisors (see below), whose sum is σ = 2943360000. Its totient is φ = 364702720.

The previous prime is 1100013241. The next prime is 1100013319. The reversal of 1100013312 is 2133100011.

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 (1100013319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142939 + ... + 150437.

It is an arithmetic number, because the mean of its divisors is an integer number (40880000).

Almost surely, 2^1100013312 is an apocalyptic number.

1100013312 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 1100013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471680000).

1100013312 is an abundant number, since it is smaller than the sum of its proper divisors (1843346688).

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

1100013312 is an equidigital number, since it uses as much as digits as its factorization.

1100013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7709 (or 7695 counting only the distinct ones).

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

The square root of 1100013312 is about 33166.4485888978. The cubic root of 1100013312 is about 1032.2842795950.

Adding to 1100013312 its reverse (2133100011), we get a palindrome (3233113323).

The spelling of 1100013312 in words is "one billion, one hundred million, thirteen thousand, three hundred twelve".