13343135400 has 384 divisors, whose sum is σ = 53032320000. Its totient is φ = 3020440320.

The previous prime is 13343135381. The next prime is 13343135401. The reversal of 13343135400 is 453134331.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13343135401) 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, 4042951 + ... + 4046249.

It is an arithmetic number, because the mean of its divisors is an integer number (138105000).

Almost surely, 2^13343135400 is an apocalyptic number.

13343135400 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 13343135400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26516160000).

13343135400 is an abundant number, since it is smaller than the sum of its proper divisors (39689184600).

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

13343135400 is a wasteful number, since it uses less digits than its factorization.

13343135400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3438 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 13343135400 its reverse (453134331), we get a palindrome (13796269731).

The spelling of 13343135400 in words is "thirteen billion, three hundred forty-three million, one hundred thirty-five thousand, four hundred".