13116400 has 90 divisors (see below), whose sum is σ = 34765136. Its totient is φ = 4752000.

The previous prime is 13116391. The next prime is 13116409. The reversal of 13116400 is 461131.

It is an interprime number because it is at equal distance from previous prime (13116391) and next prime (13116409).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13116409) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48265 + ... + 48535.

Almost surely, 2^13116400 is an apocalyptic number.

13116400 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 13116400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17382568).

13116400 is an abundant number, since it is smaller than the sum of its proper divisors (21648736).

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

13116400 is a wasteful number, since it uses less digits than its factorization.

13116400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 13116400 is about 3621.6570792940. The cubic root of 13116400 is about 235.8331675454.

Adding to 13116400 its reverse (461131), we get a palindrome (13577531).

The spelling of 13116400 in words is "thirteen million, one hundred sixteen thousand, four hundred".