13032100 has 45 divisors (see below), whose sum is σ = 29850737. Its totient is φ = 4938480.

The previous prime is 13032083. The next prime is 13032133. The reversal of 13032100 is 123031.

The square root of 13032100 is 3610.

It is a perfect power (a square), and thus also a powerful number.

13032100 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., 4691556 + 8340544 = 2166^2 + 2888^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 685891 + ... + 685909.

Almost surely, 2^13032100 is an apocalyptic number.

13032100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13032100 is the 3610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13032100

13032100 is an abundant number, since it is smaller than the sum of its proper divisors (16818637).

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

13032100 is an frugal number, since it uses more digits than its factorization.

13032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The cubic root of 13032100 is about 235.3268426297.

Adding to 13032100 its reverse (123031), we get a palindrome (13155131).

It can be divided in two parts, 1303 and 2100, that added together give a triangular number (3403 = T₈₂).

The spelling of 13032100 in words is "thirteen million, thirty-two thousand, one hundred".