201002013111113 has 8 divisors (see below), whose sum is σ = 202916087949960. Its totient is φ = 199089211357440.

The previous prime is 201002013111091. The next prime is 201002013111157. The reversal of 201002013111113 is 311111310200102.

It can be written as a sum of positive squares in 4 ways, for example, as 14868026504464 + 186133986606649 = 3855908^2 + 13643093^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 201002013111113 - 2¹⁸ = 201002012848969 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 201002013111091 and 201002013111100.

It is not an unprimeable number, because it can be changed into a prime (201002013114113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 317954018 + ... + 318585563.

It is an arithmetic number, because the mean of its divisors is an integer number (25364510993745).

Almost surely, 2^{201002013111113} is an apocalyptic number.

It is an amenable number.

201002013111113 is a deficient number, since it is larger than the sum of its proper divisors (1914074838847).

201002013111113 is a wasteful number, since it uses less digits than its factorization.

201002013111113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636542587.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 201002013111113 its reverse (311111310200102), we get a palindrome (512113323311215).

The spelling of 201002013111113 in words is "two hundred one trillion, two billion, thirteen million, one hundred eleven thousand, one hundred thirteen".