13052302414400 has 168 divisors, whose sum is σ = 33228441417000. Its totient is φ = 5040260628480.

The previous prime is 13052302414397. The next prime is 13052302414493. The reversal of 13052302414400 is 441420325031.

It can be written as a sum of positive squares in 12 ways, for example, as 3292976398336 + 9759326016064 = 1814656^2 + 3123992^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 575766266 + ... + 575788934.

Almost surely, 2^{13052302414400} is an apocalyptic number.

13052302414400 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 13052302414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16614220708500).

13052302414400 is an abundant number, since it is smaller than the sum of its proper divisors (20176139002600).

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

13052302414400 is a wasteful number, since it uses less digits than its factorization.

13052302414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35129 (or 35114 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 13052302414400 its reverse (441420325031), we get a palindrome (13493722739431).

The spelling of 13052302414400 in words is "thirteen trillion, fifty-two billion, three hundred two million, four hundred fourteen thousand, four hundred".