13000303200 has 144 divisors (see below), whose sum is σ = 42852257280. Its totient is φ = 3422814720.

The previous prime is 13000303187. The next prime is 13000303213. The reversal of 13000303200 is 230300031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13000303187) and next prime (13000303213).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 155317 + ... + 223883.

It is an arithmetic number, because the mean of its divisors is an integer number (297585120).

Almost surely, 2^13000303200 is an apocalyptic number.

13000303200 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 13000303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21426128640).

13000303200 is an abundant number, since it is smaller than the sum of its proper divisors (29851954080).

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

13000303200 is a wasteful number, since it uses less digits than its factorization.

13000303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68669 (or 68656 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 13000303200 its reverse (230300031), we get a palindrome (13230603231).

The spelling of 13000303200 in words is "thirteen billion, three hundred three thousand, two hundred".