103113 has 20 divisors (see below), whose sum is σ = 164560. Its totient is φ = 64152.

The previous prime is 103099. The next prime is 103123. The reversal of 103113 is 311301.

It is not a de Polignac number, because 103113 - 2⁶ = 103049 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103095 and 103104.

It is not an unprimeable number, because it can be changed into a prime (103123) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1506 + ... + 1572.

It is an arithmetic number, because the mean of its divisors is an integer number (8228).

2¹⁰³¹¹³ is an apocalyptic number.

It is an amenable number.

103113 is a deficient number, since it is larger than the sum of its proper divisors (61447).

103113 is an equidigital number, since it uses as much as digits as its factorization.

103113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 103113 is about 321.1121299484. The cubic root of 103113 is about 46.8926173779.

Adding to 103113 its reverse (311301), we get a palindrome (414414).

It can be divided in two parts, 103 and 113, that added together give a cube (216 = 6³).

The spelling of 103113 in words is "one hundred three thousand, one hundred thirteen".