13050435334400 has 162 divisors, whose sum is σ = 34091449714602. Its totient is φ = 4945427251200.

The previous prime is 13050435334397. The next prime is 13050435334487. The reversal of 13050435334400 is 443353405031.

13050435334400 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 3 ways, for example, as 3278359269376 + 9772076065024 = 1810624^2 + 3126032^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 513881 + ... + 5134680.

It is an arithmetic number, because the mean of its divisors is an integer number (210441047621).

Almost surely, 2^{13050435334400} is an apocalyptic number.

13050435334400 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 13050435334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17045724857301).

13050435334400 is an abundant number, since it is smaller than the sum of its proper divisors (21041014380202).

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

13050435334400 is an equidigital number, since it uses as much as digits as its factorization.

13050435334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5648625 (or 5648587 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 35.

Adding to 13050435334400 its reverse (443353405031), we get a palindrome (13493788739431).

The spelling of 13050435334400 in words is "thirteen trillion, fifty billion, four hundred thirty-five million, three hundred thirty-four thousand, four hundred".