13000 has 32 divisors (see below), whose sum is σ = 32760. Its totient is φ = 4800.

The previous prime is 12983. The next prime is 13001. The reversal of 13000 is 31.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1764 + 11236 = 42^2 + 106^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is not an unprimeable number, because it can be changed into a prime (13001) by changing a digit.

13000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 994 + ... + 1006.

2¹³⁰⁰⁰ is an apocalyptic number.

13000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16380).

13000 is an abundant number, since it is smaller than the sum of its proper divisors (19760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13000 is a wasteful number, since it uses less digits than its factorization.

13000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 4.

The square root of 13000 is about 114.0175425099. The cubic root of 13000 is about 23.5133468772.

Adding to 13000 its reverse (31), we get a palindrome (13031).

The spelling of 13000 in words is "thirteen thousand".