13343312400 has 480 divisors, whose sum is σ = 49751815680. Its totient is φ = 3022848000.

The previous prime is 13343312347. The next prime is 13343312449. The reversal of 13343312400 is 421334331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20816080 + ... + 20816720.

It is an arithmetic number, because the mean of its divisors is an integer number (103649616).

Almost surely, 2^13343312400 is an apocalyptic number.

13343312400 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 13343312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24875907840).

13343312400 is an abundant number, since it is smaller than the sum of its proper divisors (36408503280).

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

13343312400 is a wasteful number, since it uses less digits than its factorization.

13343312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13343312400 its reverse (421334331), we get a palindrome (13764646731).

The spelling of 13343312400 in words is "thirteen billion, three hundred forty-three million, three hundred twelve thousand, four hundred".