13320211430400 has 396 divisors, whose sum is σ = 51211597625208. Its totient is φ = 3044618895360.

The previous prime is 13320211430387. The next prime is 13320211430401. The reversal of 13320211430400 is 403411202331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13320211430401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1993402 + ... + 5532998.

Almost surely, 2^{13320211430400} is an apocalyptic number.

13320211430400 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 13320211430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25605798812604).

13320211430400 is an abundant number, since it is smaller than the sum of its proper divisors (37891386194808).

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

13320211430400 is a wasteful number, since it uses less digits than its factorization.

13320211430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3539644 (or 3539614 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13320211430400 its reverse (403411202331), we get a palindrome (13723622632731).

The spelling of 13320211430400 in words is "thirteen trillion, three hundred twenty billion, two hundred eleven million, four hundred thirty thousand, four hundred".