11022313023000 has 768 divisors, whose sum is σ = 40750869519360. Its totient is φ = 2679038208000.

The previous prime is 11022313022993. The next prime is 11022313023013. The reversal of 11022313023000 is 32031322011.

11022313023000 is a `hidden beast` number, since 1 + 10 + 22 + 31 + 302 + 300 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 364925899 + ... + 364956101.

It is an arithmetic number, because the mean of its divisors is an integer number (53061028020).

Almost surely, 2^{11022313023000} is an apocalyptic number.

11022313023000 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 11022313023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20375434759680).

11022313023000 is an abundant number, since it is smaller than the sum of its proper divisors (29728556496360).

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

11022313023000 is a wasteful number, since it uses less digits than its factorization.

11022313023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30337 (or 30320 counting only the distinct ones).

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

Adding to 11022313023000 its reverse (32031322011), we get a palindrome (11054344345011).

The spelling of 11022313023000 in words is "eleven trillion, twenty-two billion, three hundred thirteen million, twenty-three thousand".