21311123333120 has 224 divisors, whose sum is σ = 51873966041040. Its totient is φ = 8403445350400.

The previous prime is 21311123333069. The next prime is 21311123333167. The reversal of 21311123333120 is 2133332111312.

It can be written as a sum of positive squares in 8 ways, for example, as 7451764363264 + 13859358969856 = 2729792^2 + 3722816^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 21311123333120.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 963900626 + ... + 963922734.

Almost surely, 2^{21311123333120} is an apocalyptic number.

21311123333120 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 21311123333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25936983020520).

21311123333120 is an abundant number, since it is smaller than the sum of its proper divisors (30562842707920).

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

21311123333120 is a wasteful number, since it uses less digits than its factorization.

21311123333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22474 (or 22450 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 21311123333120 its reverse (2133332111312), we get a palindrome (23444455444432).

The spelling of 21311123333120 in words is "twenty-one trillion, three hundred eleven billion, one hundred twenty-three million, three hundred thirty-three thousand, one hundred twenty".