1100031368832 has 384 divisors, whose sum is σ = 3552366093120. Its totient is φ = 323802316800.

The previous prime is 1100031368797. The next prime is 1100031368833. The reversal of 1100031368832 is 2388631300011.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1100031368833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 356803963 + ... + 356807045.

Almost surely, 2^{1100031368832} is an apocalyptic number.

1100031368832 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 1100031368832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776183046560).

1100031368832 is an abundant number, since it is smaller than the sum of its proper divisors (2452334724288).

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

1100031368832 is a wasteful number, since it uses less digits than its factorization.

1100031368832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3912 (or 3897 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 1100031368832 its reverse (2388631300011), we get a palindrome (3488662668843).

The spelling of 1100031368832 in words is "one trillion, one hundred billion, thirty-one million, three hundred sixty-eight thousand, eight hundred thirty-two".