13010 has 8 divisors (see below), whose sum is σ = 23436. Its totient is φ = 5200.

The previous prime is 13009. The next prime is 13033. The reversal of 13010 is 1031.

13010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10609 + 2401 = 103^2 + 49^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a fibodiv number, since the Fibonacci-like sequence with seeds 130 and 10 contains 13010 itself.

It is a Curzon number.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 12985 and 13003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 641 + ... + 660.

2¹³⁰¹⁰ is an apocalyptic number.

13010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13010 is a deficient number, since it is larger than the sum of its proper divisors (10426).

13010 is a wasteful number, since it uses less digits than its factorization.

13010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308.

The product of its (nonzero) digits is 3, while the sum is 5.

The square root of 13010 is about 114.0613869809. The cubic root of 13010 is about 23.5193743953.

Adding to 13010 its reverse (1031), we get a palindrome (14041).

The spelling of 13010 in words is "thirteen thousand, ten".