13333111021120 has 224 divisors, whose sum is σ = 35886059596800. Its totient is φ = 4674551193600.

The previous prime is 13333111021093. The next prime is 13333111021121. The reversal of 13333111021120 is 2112011133331.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 13333111021091 and 13333111021100.

It is not an unprimeable number, because it can be changed into a prime (13333111021121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29126166 + ... + 29580394.

It is an arithmetic number, because the mean of its divisors is an integer number (160205623200).

Almost surely, 2^{13333111021120} is an apocalyptic number.

13333111021120 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 13333111021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17943029798400).

13333111021120 is an abundant number, since it is smaller than the sum of its proper divisors (22552948575680).

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

13333111021120 is a wasteful number, since it uses less digits than its factorization.

13333111021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454557 (or 454547 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 13333111021120 its reverse (2112011133331), we get a palindrome (15445122154451).

The spelling of 13333111021120 in words is "thirteen trillion, three hundred thirty-three billion, one hundred eleven million, twenty-one thousand, one hundred twenty".