11213300022000 has 320 divisors, whose sum is σ = 37575655004160. Its totient is φ = 2873410176000.

The previous prime is 11213300021981. The next prime is 11213300022007. The reversal of 11213300022000 is 22000331211.

11213300022000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11213300022007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36561289 + ... + 36866711.

It is an arithmetic number, because the mean of its divisors is an integer number (117423921888).

Almost surely, 2^{11213300022000} is an apocalyptic number.

11213300022000 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 11213300022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18787827502080).

11213300022000 is an abundant number, since it is smaller than the sum of its proper divisors (26362354982160).

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

11213300022000 is a wasteful number, since it uses less digits than its factorization.

11213300022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305689 (or 305673 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11213300022000 its reverse (22000331211), we get a palindrome (11235300353211).

The spelling of 11213300022000 in words is "eleven trillion, two hundred thirteen billion, three hundred million, twenty-two thousand".