11320022313000 has 1152 divisors, whose sum is σ = 41272432830720. Its totient is φ = 2795888793600.

The previous prime is 11320022312987. The next prime is 11320022313001. The reversal of 11320022313000 is 31322002311.

11320022313000 is a `hidden beast` number, since 1 + 132 + 0 + 0 + 2 + 231 + 300 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11320022313001) 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 287 ways as a sum of consecutive naturals, for example, 23244398757 + ... + 23244399243.

It is an arithmetic number, because the mean of its divisors is an integer number (35826764610).

Almost surely, 2^{11320022313000} is an apocalyptic number.

11320022313000 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 11320022313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20636216415360).

11320022313000 is an abundant number, since it is smaller than the sum of its proper divisors (29952410517720).

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

11320022313000 is a wasteful number, since it uses less digits than its factorization.

11320022313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11320022313000 its reverse (31322002311), we get a palindrome (11351344315311).

The spelling of 11320022313000 in words is "eleven trillion, three hundred twenty billion, twenty-two million, three hundred thirteen thousand".