101113 has 2 divisors, whose sum is σ = 101114. Its totient is φ = 101112.

The previous prime is 101111. The next prime is 101117. The reversal of 101113 is 311101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56169 + 44944 = 237^2 + 212^2 .

It is a cyclic number.

It is not a de Polignac number, because 101113 - 2¹ = 101111 is a prime.

Together with 101111, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 101096 and 101105.

It is not a weakly prime, because it can be changed into another prime (101111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556 + 50557.

It is an arithmetic number, because the mean of its divisors is an integer number (50557).

2¹⁰¹¹¹³ is an apocalyptic number.

It is an amenable number.

101113 is a deficient number, since it is larger than the sum of its proper divisors (1).

101113 is an equidigital number, since it uses as much as digits as its factorization.

101113 is an evil number, because the sum of its binary digits is even.

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

The square root of 101113 is about 317.9827039321. The cubic root of 101113 is about 46.5874563302.

Adding to 101113 its reverse (311101), we get a palindrome (412214).

It can be divided in two parts, 1011 and 13, that added together give a 10-th power (1024 = 2¹⁰).

The spelling of 101113 in words is "one hundred one thousand, one hundred thirteen".