11031132000000 has 1008 divisors, whose sum is σ = 42977104886016. Its totient is φ = 2459136000000.

The previous prime is 11031131999983. The next prime is 11031132000047. The reversal of 11031132000000 is 23113011.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11031132000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3443998399 + ... + 3444001601.

It is an arithmetic number, because the mean of its divisors is an integer number (42636016752).

Almost surely, 2^{11031132000000} is an apocalyptic number.

11031132000000 is a gapful number since it is divisible by the number (10) 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 11031132000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21488552443008).

11031132000000 is an abundant number, since it is smaller than the sum of its proper divisors (31945972886016).

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

11031132000000 is an frugal number, since it uses more digits than its factorization.

11031132000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3300 (or 3261 counting only the distinct ones).

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

Adding to 11031132000000 its reverse (23113011), we get a palindrome (11031155113011).

The spelling of 11031132000000 in words is "eleven trillion, thirty-one billion, one hundred thirty-two million", and thus it is an aban number.