10113 has 4 divisors (see below), whose sum is σ = 13488. Its totient is φ = 6740.

The previous prime is 10111. The next prime is 10133. The reversal of 10113 is 31101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10113 - 2¹ = 10111 is a prime.

It is a D-number.

It is a plaindrome in base 13.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (10111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1683 + ... + 1688.

It is an arithmetic number, because the mean of its divisors is an integer number (3372).

It is a Proth number, since it is equal to 79 ⋅ 2⁷ + 1 and 79 < 2⁷.

2¹⁰¹¹³ is an apocalyptic number.

It is an amenable number.

10113 is a deficient number, since it is larger than the sum of its proper divisors (3375).

10113 is an equidigital number, since it uses as much as digits as its factorization.

10113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3374.

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 10113 is about 100.5634128299. The cubic root of 10113 is about 21.6251935118.

Adding to 10113 its reverse (31101), we get a palindrome (41214).

The spelling of 10113 in words is "ten thousand, one hundred thirteen".