13413005320000 has 560 divisors, whose sum is σ = 39192354432000. Its totient is φ = 4488698880000.

The previous prime is 13413005319953. The next prime is 13413005320009. The reversal of 13413005320000 is 2350031431.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13413005320009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1996276641 + ... + 1996283359.

It is an arithmetic number, because the mean of its divisors is an integer number (69986347200).

Almost surely, 2^{13413005320000} is an apocalyptic number.

13413005320000 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 13413005320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19596177216000).

13413005320000 is an abundant number, since it is smaller than the sum of its proper divisors (25779349112000).

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

13413005320000 is a wasteful number, since it uses less digits than its factorization.

13413005320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7124 (or 7099 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

Adding to 13413005320000 its reverse (2350031431), we get a palindrome (13415355351431).

The spelling of 13413005320000 in words is "thirteen trillion, four hundred thirteen billion, five million, three hundred twenty thousand".