21233211113000 has 256 divisors, whose sum is σ = 52884308505600. Its totient is φ = 7956691200000.

The previous prime is 21233211112933. The next prime is 21233211113029. The reversal of 21233211113000 is 31111233212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1644576545 + ... + 1644589455.

It is an arithmetic number, because the mean of its divisors is an integer number (206579330100).

Almost surely, 2^{21233211113000} is an apocalyptic number.

21233211113000 is a gapful number since it is divisible by the number (20) 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 21233211113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26442154252800).

21233211113000 is an abundant number, since it is smaller than the sum of its proper divisors (31651097392600).

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

21233211113000 is a wasteful number, since it uses less digits than its factorization.

21233211113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13909 (or 13895 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 21233211113000 its reverse (31111233212), we get a palindrome (21264322346212).

The spelling of 21233211113000 in words is "twenty-one trillion, two hundred thirty-three billion, two hundred eleven million, one hundred thirteen thousand".