11333122133130 has 512 divisors, whose sum is σ = 36808473600000. Its totient is φ = 2423796369408.

The previous prime is 11333122133119. The next prime is 11333122133153. The reversal of 11333122133130 is 3133122133311.

11333122133130 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 312 + 213 + 3 + 130 = 666.

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 = 11333122133094 and 11333122133103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 957749694 + ... + 957761526.

It is an arithmetic number, because the mean of its divisors is an integer number (71891550000).

Almost surely, 2^{11333122133130} is an apocalyptic number.

11333122133130 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 11333122133130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18404236800000).

11333122133130 is an abundant number, since it is smaller than the sum of its proper divisors (25475351466870).

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

11333122133130 is a wasteful number, since it uses less digits than its factorization.

11333122133130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12203 (or 12197 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 11333122133130 its reverse (3133122133311), we get a palindrome (14466244266441).

The spelling of 11333122133130 in words is "eleven trillion, three hundred thirty-three billion, one hundred twenty-two million, one hundred thirty-three thousand, one hundred thirty".