13530100 has 18 divisors (see below), whose sum is σ = 29360534. Its totient is φ = 5412000.

The previous prime is 13530091. The next prime is 13530107. The reversal of 13530100 is 103531.

It can be written as a sum of positive squares in 3 ways, for example, as 1503076 + 12027024 = 1226^2 + 3468^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13530107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 67551 + ... + 67750.

Almost surely, 2^13530100 is an apocalyptic number.

13530100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13530100 is an abundant number, since it is smaller than the sum of its proper divisors (15830434).

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

13530100 is a wasteful number, since it uses less digits than its factorization.

13530100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135315 (or 135308 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 13.

The square root of 13530100 is about 3678.3284247060. The cubic root of 13530100 is about 238.2869922561.

Adding to 13530100 its reverse (103531), we get a palindrome (13633631).

The spelling of 13530100 in words is "thirteen million, five hundred thirty thousand, one hundred".