13013300 has 36 divisors (see below), whose sum is σ = 28435680. Its totient is φ = 5169120.

The previous prime is 13013293. The next prime is 13013303. The reversal of 13013300 is 331031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13013303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17537 + ... + 18263.

It is an arithmetic number, because the mean of its divisors is an integer number (789880).

Almost surely, 2^13013300 is an apocalyptic number.

13013300 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 13013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14217840).

13013300 is an abundant number, since it is smaller than the sum of its proper divisors (15422380).

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

13013300 is a wasteful number, since it uses less digits than its factorization.

13013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 11.

The square root of 13013300 is about 3607.3951821224. The cubic root of 13013300 is about 235.2136279839.

Adding to 13013300 its reverse (331031), we get a palindrome (13344331).

The spelling of 13013300 in words is "thirteen million, thirteen thousand, three hundred".