11331132000032 has 96 divisors (see below), whose sum is σ = 24429849091200. Its totient is φ = 5142100727808.

The previous prime is 11331132000031. The next prime is 11331132000061. The reversal of 11331132000032 is 23000023113311.

It is a junction number, because it is equal to n+sod(n) for n = 11331131999968 and 11331132000013.

It is not an unprimeable number, because it can be changed into a prime (11331132000031) 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 15 ways as a sum of consecutive naturals, for example, 5772413 + ... + 7482179.

It is an arithmetic number, because the mean of its divisors is an integer number (254477594700).

Almost surely, 2^{11331132000032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11331132000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12214924545600).

11331132000032 is an abundant number, since it is smaller than the sum of its proper divisors (13098717091168).

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

11331132000032 is a wasteful number, since it uses less digits than its factorization.

11331132000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710058 (or 1710050 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 11331132000032 its reverse (23000023113311), we get a palindrome (34331155113343).

The spelling of 11331132000032 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-two million, thirty-two", and thus it is an aban number.