13330310400 has 432 divisors, whose sum is σ = 53332211520. Its totient is φ = 3231129600.

The previous prime is 13330310369. The next prime is 13330310429. The reversal of 13330310400 is 401303331.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1897294 + ... + 1904306.

Almost surely, 2^13330310400 is an apocalyptic number.

13330310400 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 13330310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26666105760).

13330310400 is an abundant number, since it is smaller than the sum of its proper divisors (40001901120).

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

13330310400 is a wasteful number, since it uses less digits than its factorization.

13330310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7059 (or 7034 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13330310400 its reverse (401303331), we get a palindrome (13731613731).

The spelling of 13330310400 in words is "thirteen billion, three hundred thirty million, three hundred ten thousand, four hundred".