13001323200 has 168 divisors, whose sum is σ = 43292889792. Its totient is φ = 3415188480.

The previous prime is 13001323199. The next prime is 13001323201. The reversal of 13001323200 is 232310031.

It is an interprime number because it is at equal distance from previous prime (13001323199) and next prime (13001323201).

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 13001323200.

It is not an unprimeable number, because it can be changed into a prime (13001323201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301387 + ... + 341813.

Almost surely, 2^13001323200 is an apocalyptic number.

13001323200 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 13001323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21646444896).

13001323200 is an abundant number, since it is smaller than the sum of its proper divisors (30291566592).

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

13001323200 is a wasteful number, since it uses less digits than its factorization.

13001323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40519 (or 40504 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 13001323200 its reverse (232310031), we get a palindrome (13233633231).

The spelling of 13001323200 in words is "thirteen billion, one million, three hundred twenty-three thousand, two hundred".