13305697200 has 480 divisors, whose sum is σ = 49080192000. Its totient is φ = 3421440000.

The previous prime is 13305697193. The next prime is 13305697201. The reversal of 13305697200 is 279650331.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13305697201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66862701 + ... + 66862899.

It is an arithmetic number, because the mean of its divisors is an integer number (102250400).

Almost surely, 2^13305697200 is an apocalyptic number.

13305697200 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 13305697200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24540096000).

13305697200 is an abundant number, since it is smaller than the sum of its proper divisors (35774494800).

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

13305697200 is a wasteful number, since it uses less digits than its factorization.

13305697200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 13305697200 in words is "thirteen billion, three hundred five million, six hundred ninety-seven thousand, two hundred".