21331110233120 has 192 divisors, whose sum is σ = 52501982803200. Its totient is φ = 8179909570560.

The previous prime is 21331110233117. The next prime is 21331110233123. The reversal of 21331110233120 is 2133201113312.

It is an interprime number because it is at equal distance from previous prime (21331110233117) and next prime (21331110233123).

It is not an unprimeable number, because it can be changed into a prime (21331110233123) 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 31 ways as a sum of consecutive naturals, for example, 1100723591 + ... + 1100742969.

It is an arithmetic number, because the mean of its divisors is an integer number (273447827100).

Almost surely, 2^{21331110233120} is an apocalyptic number.

21331110233120 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 21331110233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26250991401600).

21331110233120 is an abundant number, since it is smaller than the sum of its proper divisors (31170872570080).

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

21331110233120 is a wasteful number, since it uses less digits than its factorization.

21331110233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21091 (or 21083 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 21331110233120 its reverse (2133201113312), we get a palindrome (23464311346432).

The spelling of 21331110233120 in words is "twenty-one trillion, three hundred thirty-one billion, one hundred ten million, two hundred thirty-three thousand, one hundred twenty".