201013301120 has 64 divisors (see below), whose sum is σ = 482063832000. Its totient is φ = 80151595008.

The previous prime is 201013301057. The next prime is 201013301141. The reversal of 201013301120 is 21103310102.

201013301120 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 (64).

It is a junction number, because it is equal to n+sod(n) for n = 201013301095 and 201013301104.

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 7 ways as a sum of consecutive naturals, for example, 292520 + ... + 698279.

It is an arithmetic number, because the mean of its divisors is an integer number (7532247375).

Almost surely, 2^201013301120 is an apocalyptic number.

201013301120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201013301120 is an abundant number, since it is smaller than the sum of its proper divisors (281050530880).

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

201013301120 is an equidigital number, since it uses as much as digits as its factorization.

201013301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991135 (or 991123 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 201013301120 its reverse (21103310102), we get a palindrome (222116611222).

The spelling of 201013301120 in words is "two hundred one billion, thirteen million, three hundred one thousand, one hundred twenty".