13130134400 has 96 divisors (see below), whose sum is σ = 32800690800. Its totient is φ = 5192929280.

The previous prime is 13130134397. The next prime is 13130134447. The reversal of 13130134400 is 443103131.

13130134400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 261749 + ... + 307851.

Almost surely, 2^13130134400 is an apocalyptic number.

13130134400 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 13130134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16400345400).

13130134400 is an abundant number, since it is smaller than the sum of its proper divisors (19670556400).

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

13130134400 is an equidigital number, since it uses as much as digits as its factorization.

13130134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46216 (or 46199 counting only the distinct ones).

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

Adding to 13130134400 its reverse (443103131), we get a palindrome (13573237531).

The spelling of 13130134400 in words is "thirteen billion, one hundred thirty million, one hundred thirty-four thousand, four hundred".