11330333112032 has 192 divisors, whose sum is σ = 25671712485888. Its totient is φ = 4872130560000.

The previous prime is 11330333112023. The next prime is 11330333112047. The reversal of 11330333112032 is 23021133303311.

11330333112032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11330333111992 and 11330333112010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1414342907 + ... + 1414350917.

It is an arithmetic number, because the mean of its divisors is an integer number (133706835864).

Almost surely, 2^{11330333112032} 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 11330333112032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12835856242944).

11330333112032 is an abundant number, since it is smaller than the sum of its proper divisors (14341379373856).

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

11330333112032 is a wasteful number, since it uses less digits than its factorization.

11330333112032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9953 (or 9945 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 11330333112032 its reverse (23021133303311), we get a palindrome (34351466415343).

The spelling of 11330333112032 in words is "eleven trillion, three hundred thirty billion, three hundred thirty-three million, one hundred twelve thousand, thirty-two".