11331313002220 has 192 divisors, whose sum is σ = 26054207746560. Its totient is φ = 4123191840768.

The previous prime is 11331313002209. The next prime is 11331313002257. The reversal of 11331313002220 is 2220031313311.

It is a junction number, because it is equal to n+sod(n) for n = 11331313002191 and 11331313002200.

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 63 ways as a sum of consecutive naturals, for example, 735171234 + ... + 735186646.

It is an arithmetic number, because the mean of its divisors is an integer number (135698998680).

Almost surely, 2^{11331313002220} is an apocalyptic number.

11331313002220 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 11331313002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13027103873280).

11331313002220 is an abundant number, since it is smaller than the sum of its proper divisors (14722894744340).

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

11331313002220 is a wasteful number, since it uses less digits than its factorization.

11331313002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16112 (or 16110 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 11331313002220 its reverse (2220031313311), we get a palindrome (13551344315531).

The spelling of 11331313002220 in words is "eleven trillion, three hundred thirty-one billion, three hundred thirteen million, two thousand, two hundred twenty".