13318214400 has 540 divisors, whose sum is σ = 51430531152. Its totient is φ = 3394068480.

The previous prime is 13318214347. The next prime is 13318214453. The reversal of 13318214400 is 441281331.

13318214400 is a `hidden beast` number, since 1 + 33 + 18 + 214 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (13318214347) and next prime (13318214453).

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11922642 + ... + 11923758.

Almost surely, 2^13318214400 is an apocalyptic number.

13318214400 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 13318214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25715265576).

13318214400 is an abundant number, since it is smaller than the sum of its proper divisors (38112316752).

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

13318214400 is a wasteful number, since it uses less digits than its factorization.

13318214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 13318214400 its reverse (441281331), we get a palindrome (13759495731).

The spelling of 13318214400 in words is "thirteen billion, three hundred eighteen million, two hundred fourteen thousand, four hundred".