11331130200320 has 288 divisors, whose sum is σ = 31618824636672. Its totient is φ = 3809898233856.

The previous prime is 11331130200307. The next prime is 11331130200343. The reversal of 11331130200320 is 2300203113311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11331130200292 and 11331130200301.

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, 1407065414 + ... + 1407073466.

It is an arithmetic number, because the mean of its divisors is an integer number (109787585544).

Almost surely, 2^{11331130200320} is an apocalyptic number.

11331130200320 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 11331130200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15809412318336).

11331130200320 is an abundant number, since it is smaller than the sum of its proper divisors (20287694436352).

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

11331130200320 is an equidigital number, since it uses as much as digits as its factorization.

11331130200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11097 (or 11083 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 11331130200320 its reverse (2300203113311), we get a palindrome (13631333313631).

The spelling of 11331130200320 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty million, two hundred thousand, three hundred twenty".