13340011200 has 168 divisors, whose sum is σ = 43895912208. Its totient is φ = 3546808320.

The previous prime is 13340011187. The next prime is 13340011229. The reversal of 13340011200 is 211004331.

It is a super-2 number, since 2×13340011200² (a number of 21 digits) contains 22 as substring.

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 13340011200.

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, 1690464 + ... + 1698336.

Almost surely, 2^13340011200 is an apocalyptic number.

13340011200 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 13340011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21947956104).

13340011200 is an abundant number, since it is smaller than the sum of its proper divisors (30555901008).

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

13340011200 is a wasteful number, since it uses less digits than its factorization.

13340011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8251 (or 8236 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13340011200 its reverse (211004331), we get a palindrome (13551015531).

The spelling of 13340011200 in words is "thirteen billion, three hundred forty million, eleven thousand, two hundred".