11301333322320 has 240 divisors, whose sum is σ = 38028388170240. Its totient is φ = 3007759233024.

The previous prime is 11301333322319. The next prime is 11301333322327. The reversal of 11301333322320 is 2322333310311.

11301333322320 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 1 + 3 + 3 + 332 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11301333322327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1001974441 + ... + 1001985719.

It is an arithmetic number, because the mean of its divisors is an integer number (158451617376).

Almost surely, 2^{11301333322320} is an apocalyptic number.

11301333322320 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 11301333322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19014194085120).

11301333322320 is an abundant number, since it is smaller than the sum of its proper divisors (26727054847920).

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

11301333322320 is a wasteful number, since it uses less digits than its factorization.

11301333322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13914 (or 13905 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 11301333322320 its reverse (2322333310311), we get a palindrome (13623666632631).

The spelling of 11301333322320 in words is "eleven trillion, three hundred one billion, three hundred thirty-three million, three hundred twenty-two thousand, three hundred twenty".