13430400300 has 108 divisors (see below), whose sum is σ = 42469703640. Its totient is φ = 3549719040.

The previous prime is 13430400157. The next prime is 13430400301. The reversal of 13430400300 is 300403431.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13430400301) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 35671 + ... + 167729.

Almost surely, 2^13430400300 is an apocalyptic number.

13430400300 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 13430400300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21234851820).

13430400300 is an abundant number, since it is smaller than the sum of its proper divisors (29039303340).

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

13430400300 is a wasteful number, since it uses less digits than its factorization.

13430400300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132192 (or 132182 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 13430400300 its reverse (300403431), we get a palindrome (13730803731).

The spelling of 13430400300 in words is "thirteen billion, four hundred thirty million, four hundred thousand, three hundred".