201113311120 has 40 divisors (see below), whose sum is σ = 467823434616. Its totient is φ = 80404896768.

The previous prime is 201113311097. The next prime is 201113311169. The reversal of 201113311120 is 21113311102.

It is a happy number.

201113311120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 91356271504 + 109757039616 = 302252^2 + 331296^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 201113311094 and 201113311103.

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 7 ways as a sum of consecutive naturals, for example, 471247 + ... + 790126.

Almost surely, 2^201113311120 is an apocalyptic number.

201113311120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201113311120 is an abundant number, since it is smaller than the sum of its proper divisors (266710123496).

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

201113311120 is a wasteful number, since it uses less digits than its factorization.

201113311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263379 (or 1263373 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 201113311120 its reverse (21113311102), we get a palindrome (222226622222).

The spelling of 201113311120 in words is "two hundred one billion, one hundred thirteen million, three hundred eleven thousand, one hundred twenty".