11332233130020 has 384 divisors, whose sum is σ = 36130167521280. Its totient is φ = 2628986880000.

The previous prime is 11332233130019. The next prime is 11332233130063. The reversal of 11332233130020 is 2003133223311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1919738389 + ... + 1919744291.

It is an arithmetic number, because the mean of its divisors is an integer number (94088977920).

Almost surely, 2^{11332233130020} is an apocalyptic number.

11332233130020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11332233130020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18065083760640).

11332233130020 is an abundant number, since it is smaller than the sum of its proper divisors (24797934391260).

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

11332233130020 is a wasteful number, since it uses less digits than its factorization.

11332233130020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6987 (or 6985 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 11332233130020 its reverse (2003133223311), we get a palindrome (13335366353331).

The spelling of 11332233130020 in words is "eleven trillion, three hundred thirty-two billion, two hundred thirty-three million, one hundred thirty thousand, twenty".