13340100 has 72 divisors (see below), whose sum is σ = 39372480. Its totient is φ = 3486080.

The previous prime is 13340027. The next prime is 13340111. The reversal of 13340100 is 104331.

13340100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15481 + ... + 16319.

It is an arithmetic number, because the mean of its divisors is an integer number (546840).

Almost surely, 2^13340100 is an apocalyptic number.

13340100 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 13340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19686240).

13340100 is an abundant number, since it is smaller than the sum of its proper divisors (26032380).

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

13340100 is a wasteful number, since it uses less digits than its factorization.

13340100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 13340100 is about 3652.4101631662. The cubic root of 13340100 is about 237.1663273676.

Adding to 13340100 its reverse (104331), we get a palindrome (13444431).

The spelling of 13340100 in words is "thirteen million, three hundred forty thousand, one hundred".