101660113 has 2 divisors, whose sum is σ = 101660114. Its totient is φ = 101660112.

The previous prime is 101660063. The next prime is 101660137. The reversal of 101660113 is 311066101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54641664 + 47018449 = 7392^2 + 6857^2 .

It is an emirp because it is prime and its reverse (311066101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101660113 - 2⁹ = 101659601 is a prime.

It is not a weakly prime, because it can be changed into another prime (101660183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50830056 + 50830057.

It is an arithmetic number, because the mean of its divisors is an integer number (50830057).

Almost surely, 2^101660113 is an apocalyptic number.

It is an amenable number.

101660113 is a deficient number, since it is larger than the sum of its proper divisors (1).

101660113 is an equidigital number, since it uses as much as digits as its factorization.

101660113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 101660113 is about 10082.6639832933. The cubic root of 101660113 is about 466.7133202224.

The spelling of 101660113 in words is "one hundred one million, six hundred sixty thousand, one hundred thirteen".