13325110400 has 384 divisors, whose sum is σ = 40068864000. Its totient is φ = 4277145600.

The previous prime is 13325110399. The next prime is 13325110423. The reversal of 13325110400 is 401152331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55753481 + ... + 55753719.

It is an arithmetic number, because the mean of its divisors is an integer number (104346000).

Almost surely, 2^13325110400 is an apocalyptic number.

13325110400 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 13325110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20034432000).

13325110400 is an abundant number, since it is smaller than the sum of its proper divisors (26743753600).

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

13325110400 is a wasteful number, since it uses less digits than its factorization.

13325110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 13325110400 its reverse (401152331), we get a palindrome (13726262731).

The spelling of 13325110400 in words is "thirteen billion, three hundred twenty-five million, one hundred ten thousand, four hundred".