13042130400 has 216 divisors, whose sum is σ = 49527845640. Its totient is φ = 3210347520.

The previous prime is 13042130377. The next prime is 13042130447. The reversal of 13042130400 is 403124031.

13042130400 is a `hidden beast` number, since 130 + 4 + 2 + 130 + 400 = 666.

13042130400 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 (18).

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 35 ways as a sum of consecutive naturals, for example, 23931 + ... + 163269.

Almost surely, 2^13042130400 is an apocalyptic number.

13042130400 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 13042130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24763922820).

13042130400 is an abundant number, since it is smaller than the sum of its proper divisors (36485715240).

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

13042130400 is a wasteful number, since it uses less digits than its factorization.

13042130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139378 (or 139362 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13042130400 its reverse (403124031), we get a palindrome (13445254431).

The spelling of 13042130400 in words is "thirteen billion, forty-two million, one hundred thirty thousand, four hundred".