13034104400 has 30 divisors (see below), whose sum is σ = 31314436782. Its totient is φ = 5213641600.

The previous prime is 13034104387. The next prime is 13034104417. The reversal of 13034104400 is 440143031.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 246113344 + 12787991056 = 15688^2 + 113084^2 .

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 5 ways as a sum of consecutive naturals, for example, 16292231 + ... + 16293030.

Almost surely, 2^13034104400 is an apocalyptic number.

13034104400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13034104400 is an abundant number, since it is smaller than the sum of its proper divisors (18280332382).

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

13034104400 is a wasteful number, since it uses less digits than its factorization.

13034104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32585279 (or 32585268 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13034104400 its reverse (440143031), we get a palindrome (13474247431).

The spelling of 13034104400 in words is "thirteen billion, thirty-four million, one hundred four thousand, four hundred".