13368100 has 36 divisors (see below), whose sum is σ = 29801044. Its totient is φ = 5201280.

The previous prime is 13368073. The next prime is 13368107. The reversal of 13368100 is 186331.

It can be written as a sum of positive squares in 6 ways, for example, as 1132096 + 12236004 = 1064^2 + 3498^2 .

It is a super-2 number, since 2×13368100² = 357412195220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13368107) 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, 1894 + ... + 5506.

Almost surely, 2^13368100 is an apocalyptic number.

13368100 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 13368100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14900522).

13368100 is an abundant number, since it is smaller than the sum of its proper divisors (16432944).

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

13368100 is a wasteful number, since it uses less digits than its factorization.

13368100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3664 (or 3657 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 13368100 is about 3656.2412393057. The cubic root of 13368100 is about 237.3321436277.

The spelling of 13368100 in words is "thirteen million, three hundred sixty-eight thousand, one hundred".