13413130400 has 72 divisors (see below), whose sum is σ = 33002887680. Its totient is φ = 5322965760.

The previous prime is 13413130327. The next prime is 13413130411. The reversal of 13413130400 is 403131431.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35591 + ... + 167609.

It is an arithmetic number, because the mean of its divisors is an integer number (458373440).

Almost surely, 2^13413130400 is an apocalyptic number.

13413130400 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 13413130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16501443840).

13413130400 is an abundant number, since it is smaller than the sum of its proper divisors (19589757280).

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

13413130400 is a wasteful number, since it uses less digits than its factorization.

13413130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132166 (or 132153 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13413130400 its reverse (403131431), we get a palindrome (13816261831).

The spelling of 13413130400 in words is "thirteen billion, four hundred thirteen million, one hundred thirty thousand, four hundred".