13012 has 6 divisors (see below), whose sum is σ = 22778. Its totient is φ = 6504.

The previous prime is 13009. The next prime is 13033. The reversal of 13012 is 21031.

13012 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 only one way, i.e., 12996 + 16 = 114^2 + 4^2 .

It is a plaindrome in base 13.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 12986 and 13004.

It is a congruent number.

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 as a sum of consecutive naturals, namely, 1623 + ... + 1630.

2¹³⁰¹² is an apocalyptic number.

It is an amenable number.

13012 is a deficient number, since it is larger than the sum of its proper divisors (9766).

13012 is a wasteful number, since it uses less digits than its factorization.

13012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3257 (or 3255 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 13012 is about 114.0701538528. The cubic root of 13012 is about 23.5205795282.

Adding to 13012 its reverse (21031), we get a palindrome (34043).

The spelling of 13012 in words is "thirteen thousand, twelve".