11223313002000 has 480 divisors, whose sum is σ = 43141381560576. Its totient is φ = 2696719872000.

The previous prime is 11223313001981. The next prime is 11223313002037. The reversal of 11223313002000 is 20031332211.

11223313002000 is a `hidden beast` number, since 1 + 12 + 2 + 331 + 300 + 20 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22123189 + ... + 22624811.

Almost surely, 2^{11223313002000} is an apocalyptic number.

11223313002000 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 11223313002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21570690780288).

11223313002000 is an abundant number, since it is smaller than the sum of its proper divisors (31918068558576).

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

11223313002000 is a wasteful number, since it uses less digits than its factorization.

11223313002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501776 (or 501757 counting only the distinct ones).

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

Adding to 11223313002000 its reverse (20031332211), we get a palindrome (11243344334211).

The spelling of 11223313002000 in words is "eleven trillion, two hundred twenty-three billion, three hundred thirteen million, two thousand".