201103302120113 has 16 divisors (see below), whose sum is σ = 203305839749712. Its totient is φ = 198908586240000.

The previous prime is 201103302120067. The next prime is 201103302120121. The reversal of 201103302120113 is 311021203301102.

It is a happy number.

201103302120113 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 8 ways, for example, as 151616691972529 + 49486610147584 = 12313273^2 + 7034672^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-201103302120113 is a prime.

It is a super-2 number, since 2×201103302120113² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201103352120113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110978123 + ... + 112775663.

It is an arithmetic number, because the mean of its divisors is an integer number (12706614984357).

Almost surely, 2^{201103302120113} is an apocalyptic number.

It is an amenable number.

201103302120113 is a deficient number, since it is larger than the sum of its proper divisors (2202537629599).

201103302120113 is a wasteful number, since it uses less digits than its factorization.

201103302120113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799716.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 201103302120113 its reverse (311021203301102), we get a palindrome (512124505421215).

The spelling of 201103302120113 in words is "two hundred one trillion, one hundred three billion, three hundred two million, one hundred twenty thousand, one hundred thirteen".