11333013312330 has 128 divisors (see below), whose sum is σ = 31107302208000. Its totient is φ = 2933907443712.

The previous prime is 11333013312311. The next prime is 11333013312373. The reversal of 11333013312330 is 3321331033311.

11333013312330 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 3 + 0 + 13 + 312 + 330 = 666.

11333013312330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11333013312294 and 11333013312303.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3222219 + ... + 5748801.

It is an arithmetic number, because the mean of its divisors is an integer number (243025798500).

Almost surely, 2^{11333013312330} is an apocalyptic number.

11333013312330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11333013312330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15553651104000).

11333013312330 is an abundant number, since it is smaller than the sum of its proper divisors (19774288895670).

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

11333013312330 is a wasteful number, since it uses less digits than its factorization.

11333013312330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2527085 (or 2527079 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 11333013312330 its reverse (3321331033311), we get a palindrome (14654344345641).

The spelling of 11333013312330 in words is "eleven trillion, three hundred thirty-three billion, thirteen million, three hundred twelve thousand, three hundred thirty".