13001300 has 72 divisors (see below), whose sum is σ = 31024056. Its totient is φ = 4700160.

The previous prime is 13001291. The next prime is 13001321. The reversal of 13001300 is 310031.

It can be written as a sum of positive squares in 12 ways, for example, as 4787344 + 8213956 = 2188^2 + 2866^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94832 + ... + 94968.

Almost surely, 2^13001300 is an apocalyptic number.

13001300 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 13001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15512028).

13001300 is an abundant number, since it is smaller than the sum of its proper divisors (18022756).

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

13001300 is a wasteful number, since it uses less digits than its factorization.

13001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 13001300 is about 3605.7315485210. The cubic root of 13001300 is about 235.1413062931.

Adding to 13001300 its reverse (310031), we get a palindrome (13311331).

The spelling of 13001300 in words is "thirteen million, one thousand, three hundred".