13117300 has 54 divisors (see below), whose sum is σ = 33124182. Its totient is φ = 4495680.

The previous prime is 13117259. The next prime is 13117331. The reversal of 13117300 is 371131.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 70756 + 13046544 = 266^2 + 3612^2 .

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 3562 + ... + 6238.

Almost surely, 2^13117300 is an apocalyptic number.

13117300 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 13117300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16562091).

13117300 is an abundant number, since it is smaller than the sum of its proper divisors (20006882).

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

13117300 is a wasteful number, since it uses less digits than its factorization.

13117300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2705 (or 2691 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 16.

The square root of 13117300 is about 3621.7813296774. The cubic root of 13117300 is about 235.8385614288.

Adding to 13117300 its reverse (371131), we get a palindrome (13488431).

The spelling of 13117300 in words is "thirteen million, one hundred seventeen thousand, three hundred".