13300100 has 72 divisors (see below), whose sum is σ = 32060448. Its totient is φ = 4748800.

The previous prime is 13300099. The next prime is 13300117. The reversal of 13300100 is 100331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117644 + ... + 117756.

It is an arithmetic number, because the mean of its divisors is an integer number (445284).

Almost surely, 2^13300100 is an apocalyptic number.

13300100 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 13300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16030224).

13300100 is an abundant number, since it is smaller than the sum of its proper divisors (18760348).

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

13300100 is a wasteful number, since it uses less digits than its factorization.

13300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 238 counting only the distinct ones).

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

The square root of 13300100 is about 3646.9302159488. The cubic root of 13300100 is about 236.9290440198.

Adding to 13300100 its reverse (100331), we get a palindrome (13400431).

The spelling of 13300100 in words is "thirteen million, three hundred thousand, one hundred".