13331400 has 96 divisors (see below), whose sum is σ = 43791840. Its totient is φ = 3343360.

The previous prime is 13331309. The next prime is 13331411. The reversal of 13331400 is 413331.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13331400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9547 + ... + 10853.

It is an arithmetic number, because the mean of its divisors is an integer number (456165).

Almost surely, 2^13331400 is an apocalyptic number.

13331400 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 13331400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21895920).

13331400 is an abundant number, since it is smaller than the sum of its proper divisors (30460440).

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

13331400 is a wasteful number, since it uses less digits than its factorization.

13331400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 13331400 is about 3651.2189745344. The cubic root of 13331400 is about 237.1147586447.

Adding to 13331400 its reverse (413331), we get a palindrome (13744731).

It can be divided in two parts, 13331 and 400, that added together give a palindrome (13731).

The spelling of 13331400 in words is "thirteen million, three hundred thirty-one thousand, four hundred".