13313144400 has 120 divisors (see below), whose sum is σ = 42727351584. Its totient is φ = 3543436800.

The previous prime is 13313144353. The next prime is 13313144489. The reversal of 13313144400 is 444131331.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

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, 638947 + ... + 659453.

Almost surely, 2^13313144400 is an apocalyptic number.

13313144400 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 13313144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21363675792).

13313144400 is an abundant number, since it is smaller than the sum of its proper divisors (29414207184).

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

13313144400 is a wasteful number, since it uses less digits than its factorization.

13313144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21069 (or 21058 counting only the distinct ones).

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

Adding to 13313144400 its reverse (444131331), we get a palindrome (13757275731).

The spelling of 13313144400 in words is "thirteen billion, three hundred thirteen million, one hundred forty-four thousand, four hundred".