11311303120320 has 448 divisors, whose sum is σ = 42846633916416. Its totient is φ = 2471976714240.

The previous prime is 11311303120303. The next prime is 11311303120321. The reversal of 11311303120320 is 2302130311311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11311303120321) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 395195610 + ... + 395224230.

Almost surely, 2^{11311303120320} is an apocalyptic number.

11311303120320 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 11311303120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21423316958208).

11311303120320 is an abundant number, since it is smaller than the sum of its proper divisors (31535330796096).

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

11311303120320 is a wasteful number, since it uses less digits than its factorization.

11311303120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31228 (or 31218 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 11311303120320 its reverse (2302130311311), we get a palindrome (13613433431631).

The spelling of 11311303120320 in words is "eleven trillion, three hundred eleven billion, three hundred three million, one hundred twenty thousand, three hundred twenty".