13391118400 has 189 divisors, whose sum is σ = 36356576893. Its totient is φ = 4850982400.

The previous prime is 13391118311. The next prime is 13391118407. The reversal of 13391118400 is 481119331.

The square root of 13391118400 is 115720.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4820802624 + 8570315776 = 69432^2 + 92576^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13391118407) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 50916669 + ... + 50916931.

Almost surely, 2^13391118400 is an apocalyptic number.

13391118400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13391118400 is the 115720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13391118400

13391118400 is an abundant number, since it is smaller than the sum of its proper divisors (22965458493).

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

13391118400 is an equidigital number, since it uses as much as digits as its factorization.

13391118400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The spelling of 13391118400 in words is "thirteen billion, three hundred ninety-one million, one hundred eighteen thousand, four hundred".