201113333120 has 128 divisors (see below), whose sum is σ = 554911905600. Its totient is φ = 68270284800.

The previous prime is 201113333077. The next prime is 201113333171. The reversal of 201113333120 is 21333311102.

201113333120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 201113333092 and 201113333101.

It is a congruent number.

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, 230246 + ... + 674714.

Almost surely, 2^201113333120 is an apocalyptic number.

201113333120 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 201113333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277455952800).

201113333120 is an abundant number, since it is smaller than the sum of its proper divisors (353798572480).

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

201113333120 is a wasteful number, since it uses less digits than its factorization.

201113333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444596 (or 444584 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 201113333120 its reverse (21333311102), we get a palindrome (222446644222).

The spelling of 201113333120 in words is "two hundred one billion, one hundred thirteen million, three hundred thirty-three thousand, one hundred twenty".