201100310113 has 2 divisors, whose sum is σ = 201100310114. Its totient is φ = 201100310112.

The previous prime is 201100310111. The next prime is 201100310171. The reversal of 201100310113 is 311013001102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 164534074384 + 36566235729 = 405628^2 + 191223^2 .

It is a cyclic number.

It is not a de Polignac number, because 201100310113 - 2¹ = 201100310111 is a prime.

Together with 201100310111, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 201100310093 and 201100310102.

It is not a weakly prime, because it can be changed into another prime (201100310111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100550155056 + 100550155057.

It is an arithmetic number, because the mean of its divisors is an integer number (100550155057).

Almost surely, 2^201100310113 is an apocalyptic number.

It is an amenable number.

201100310113 is a deficient number, since it is larger than the sum of its proper divisors (1).

201100310113 is an equidigital number, since it uses as much as digits as its factorization.

201100310113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 201100310113 its reverse (311013001102), we get a palindrome (512113311215).

The spelling of 201100310113 in words is "two hundred one billion, one hundred million, three hundred ten thousand, one hundred thirteen".