101000113 has 2 divisors, whose sum is σ = 101000114. Its totient is φ = 101000112.

The previous prime is 101000093. The next prime is 101000117. The reversal of 101000113 is 311000101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69505569 + 31494544 = 8337^2 + 5612^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101000113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101000096 and 101000105.

It is not a weakly prime, because it can be changed into another prime (101000117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500056 + 50500057.

It is an arithmetic number, because the mean of its divisors is an integer number (50500057).

Almost surely, 2^101000113 is an apocalyptic number.

It is an amenable number.

101000113 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000113 is an equidigital number, since it uses as much as digits as its factorization.

101000113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 7.

The square root of 101000113 is about 10049.8812430794. The cubic root of 101000113 is about 465.7011244576.

Adding to 101000113 its reverse (311000101), we get a palindrome (412000214).

The spelling of 101000113 in words is "one hundred one million, one hundred thirteen", and thus it is an aban number.