13341130400 has 216 divisors, whose sum is σ = 35652694644. Its totient is φ = 4872192000.

The previous prime is 13341130399. The next prime is 13341130471. The reversal of 13341130400 is 403114331.

13341130400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 18 ways, for example, as 8271376 + 13332859024 = 2876^2 + 115468^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13654712 + ... + 13655688.

Almost surely, 2^13341130400 is an apocalyptic number.

13341130400 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 13341130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17826347322).

13341130400 is an abundant number, since it is smaller than the sum of its proper divisors (22311564244).

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

13341130400 is a wasteful number, since it uses less digits than its factorization.

13341130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1098 counting only the distinct ones).

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

Adding to 13341130400 its reverse (403114331), we get a palindrome (13744244731).

The spelling of 13341130400 in words is "thirteen billion, three hundred forty-one million, one hundred thirty thousand, four hundred".