13301143400 has 96 divisors (see below), whose sum is σ = 32853522240. Its totient is φ = 4990786560.

The previous prime is 13301143379. The next prime is 13301143403. The reversal of 13301143400 is 434110331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (13301143403) 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, 1037429 + ... + 1050171.

It is an arithmetic number, because the mean of its divisors is an integer number (342224190).

Almost surely, 2^13301143400 is an apocalyptic number.

13301143400 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 13301143400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16426761120).

13301143400 is an abundant number, since it is smaller than the sum of its proper divisors (19552378840).

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

13301143400 is a wasteful number, since it uses less digits than its factorization.

13301143400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13083 (or 13074 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13301143400 its reverse (434110331), we get a palindrome (13735253731).

The spelling of 13301143400 in words is "thirteen billion, three hundred one million, one hundred forty-three thousand, four hundred".