101307113 has 2 divisors, whose sum is σ = 101307114. Its totient is φ = 101307112.

The previous prime is 101307109. The next prime is 101307127. The reversal of 101307113 is 311703101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75986089 + 25321024 = 8717^2 + 5032^2 .

It is a cyclic number.

It is not a de Polignac number, because 101307113 - 2² = 101307109 is a prime.

It is a super-2 number, since 2×101307113² = 20526262288789538, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101307091 and 101307100.

It is not a weakly prime, because it can be changed into another prime (101307103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50653556 + 50653557.

It is an arithmetic number, because the mean of its divisors is an integer number (50653557).

Almost surely, 2^101307113 is an apocalyptic number.

It is an amenable number.

101307113 is a deficient number, since it is larger than the sum of its proper divisors (1).

101307113 is an equidigital number, since it uses as much as digits as its factorization.

101307113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63, while the sum is 17.

The square root of 101307113 is about 10065.1434664390. The cubic root of 101307113 is about 466.1724956525.

The spelling of 101307113 in words is "one hundred one million, three hundred seven thousand, one hundred thirteen".