1100131032 has 384 divisors, whose sum is σ = 3903943680. Its totient is φ = 250905600.

The previous prime is 1100131031. The next prime is 1100131061. The reversal of 1100131032 is 2301310011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1100130999 and 1100131017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100131031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6077982 + ... + 6078162.

It is an arithmetic number, because the mean of its divisors is an integer number (10166520).

Almost surely, 2^1100131032 is an apocalyptic number.

1100131032 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 1100131032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951971840).

1100131032 is an abundant number, since it is smaller than the sum of its proper divisors (2803812648).

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

1100131032 is a wasteful number, since it uses less digits than its factorization.

1100131032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 240 counting only the distinct ones).

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

The square root of 1100131032 is about 33168.2232264558. The cubic root of 1100131032 is about 1032.3211022314.

Adding to 1100131032 its reverse (2301310011), we get a palindrome (3401441043).

The spelling of 1100131032 in words is "one billion, one hundred million, one hundred thirty-one thousand, thirty-two".