13200400320024 has 128 divisors (see below), whose sum is σ = 35358734960640. Its totient is φ = 4092115341312.

The previous prime is 13200400319969. The next prime is 13200400320047. The reversal of 13200400320024 is 42002300400231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18861297 + ... + 19548639.

It is an arithmetic number, because the mean of its divisors is an integer number (276240116880).

Almost surely, 2^{13200400320024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13200400320024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17679367480320).

13200400320024 is an abundant number, since it is smaller than the sum of its proper divisors (22158334640616).

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

13200400320024 is a wasteful number, since it uses less digits than its factorization.

13200400320024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687929 (or 687925 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 13200400320024 its reverse (42002300400231), we get a palindrome (55202700720255).

The spelling of 13200400320024 in words is "thirteen trillion, two hundred billion, four hundred million, three hundred twenty thousand, twenty-four".