103513 has 4 divisors (see below), whose sum is σ = 109620. Its totient is φ = 97408.

The previous prime is 103511. The next prime is 103529. The reversal of 103513 is 315301.

103513 = 227² + 228².

103513 is nontrivially palindromic in base 4.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 51984 + 51529 = 228^2 + 227^2 .

It is a cyclic number.

It is not a de Polignac number, because 103513 - 2¹ = 103511 is a prime.

It is a Duffinian number.

103513 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 103493 and 103502.

It is not an unprimeable number, because it can be changed into a prime (103511) 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, 3028 + ... + 3061.

It is an arithmetic number, because the mean of its divisors is an integer number (27405).

2¹⁰³⁵¹³ is an apocalyptic number.

103513 is the 228-th centered square number.

It is an amenable number.

103513 is a deficient number, since it is larger than the sum of its proper divisors (6107).

103513 is an equidigital number, since it uses as much as digits as its factorization.

103513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6106.

The product of its (nonzero) digits is 45, while the sum is 13.

The square root of 103513 is about 321.7343624794. The cubic root of 103513 is about 46.9531750338.

Adding to 103513 its reverse (315301), we get a palindrome (418814).

It can be divided in two parts, 103 and 513, that added together give a palindrome (616).

The spelling of 103513 in words is "one hundred three thousand, five hundred thirteen".