13118400 has 126 divisors (see below), whose sum is σ = 46677072. Its totient is φ = 3494400.

The previous prime is 13118393. The next prime is 13118419. The reversal of 13118400 is 481131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13945 + ... + 14855.

Almost surely, 2^13118400 is an apocalyptic number.

13118400 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 13118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23338536).

13118400 is an abundant number, since it is smaller than the sum of its proper divisors (33558672).

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

13118400 is a wasteful number, since it uses less digits than its factorization.

13118400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 13118400 is about 3621.9331854688. The cubic root of 13118400 is about 235.8451536179.

Adding to 13118400 its reverse (481131), we get a palindrome (13599531).

The spelling of 13118400 in words is "thirteen million, one hundred eighteen thousand, four hundred".