11311332032 has 224 divisors, whose sum is σ = 30281416704. Its totient is φ = 4048588800.

The previous prime is 11311332031. The next prime is 11311332037. The reversal of 11311332032 is 23023311311.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 11311331995 and 11311332013.

It is not an unprimeable number, because it can be changed into a prime (11311332031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24536282 + ... + 24536742.

It is an arithmetic number, because the mean of its divisors is an integer number (135184896).

Almost surely, 2^11311332032 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 11311332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15140708352).

11311332032 is an abundant number, since it is smaller than the sum of its proper divisors (18970084672).

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

11311332032 is a wasteful number, since it uses less digits than its factorization.

11311332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 877 counting only the distinct ones).

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

Adding to 11311332032 its reverse (23023311311), we get a palindrome (34334643343).

It can be divided in two parts, 11311 and 332032, that added together give a palindrome (343343).

The spelling of 11311332032 in words is "eleven billion, three hundred eleven million, three hundred thirty-two thousand, thirty-two".