13312311200 has 72 divisors (see below), whose sum is σ = 32571938700. Its totient is φ = 5312921600.

The previous prime is 13312311179. The next prime is 13312311209. The reversal of 13312311200 is 211321331.

It can be written as a sum of positive squares in 6 ways, for example, as 8560690576 + 4751620624 = 92524^2 + 68932^2 .

It is not an unprimeable number, because it can be changed into a prime (13312311209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 340670 + ... + 377730.

Almost surely, 2^13312311200 is an apocalyptic number.

13312311200 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 13312311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16285969350).

13312311200 is an abundant number, since it is smaller than the sum of its proper divisors (19259627500).

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

13312311200 is a wasteful number, since it uses less digits than its factorization.

13312311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37530 (or 37517 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 13312311200 its reverse (211321331), we get a palindrome (13523632531).

The spelling of 13312311200 in words is "thirteen billion, three hundred twelve million, three hundred eleven thousand, two hundred".