101113003310113 has 2 divisors, whose sum is σ = 101113003310114. Its totient is φ = 101113003310112.

The previous prime is 101113003310071. The next prime is 101113003310117. The reversal of 101113003310113 is 311013300311101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84078043070464 + 17034960239649 = 9169408^2 + 4127343^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101113003310113 is a prime.

It is not a weakly prime, because it can be changed into another prime (101113003310117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556501655056 + 50556501655057.

It is an arithmetic number, because the mean of its divisors is an integer number (50556501655057).

Almost surely, 2^{101113003310113} is an apocalyptic number.

It is an amenable number.

101113003310113 is a deficient number, since it is larger than the sum of its proper divisors (1).

101113003310113 is an equidigital number, since it uses as much as digits as its factorization.

101113003310113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 19.

Adding to 101113003310113 its reverse (311013300311101), we get a palindrome (412126303621214).

The spelling of 101113003310113 in words is "one hundred one trillion, one hundred thirteen billion, three million, three hundred ten thousand, one hundred thirteen".