21133411433112 has 256 divisors, whose sum is σ = 59966649907200. Its totient is φ = 6149744640000.

The previous prime is 21133411433087. The next prime is 21133411433201.

It is a happy number.

21133411433112 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 21133411433112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3643060612 + ... + 3643066412.

It is an arithmetic number, because the mean of its divisors is an integer number (234244726200).

Almost surely, 2^{21133411433112} is an apocalyptic number.

21133411433112 is a gapful number since it is divisible by the number (22) 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 21133411433112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29983324953600).

21133411433112 is an abundant number, since it is smaller than the sum of its proper divisors (38833238474088).

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

21133411433112 is a wasteful number, since it uses less digits than its factorization.

21133411433112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10658 (or 10654 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

It can be divided in two parts, 2113341 and 1433112, that added together give a palindrome (3546453).

The spelling of 21133411433112 in words is "twenty-one trillion, one hundred thirty-three billion, four hundred eleven million, four hundred thirty-three thousand, one hundred twelve".