13310204002400 has 144 divisors (see below), whose sum is σ = 32563161168048. Its totient is φ = 5312683776000.

The previous prime is 13310204002379. The next prime is 13310204002427. The reversal of 13310204002400 is 420040201331.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 972179555 + ... + 972193245.

It is an arithmetic number, because the mean of its divisors is an integer number (226133063667).

Almost surely, 2^{13310204002400} is an apocalyptic number.

13310204002400 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 13310204002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16281580584024).

13310204002400 is an abundant number, since it is smaller than the sum of its proper divisors (19252957165648).

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

13310204002400 is a wasteful number, since it uses less digits than its factorization.

13310204002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16225 (or 16212 counting only the distinct ones).

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

Adding to 13310204002400 its reverse (420040201331), we get a palindrome (13730244203731).

The spelling of 13310204002400 in words is "thirteen trillion, three hundred ten billion, two hundred four million, two thousand, four hundred".