13421342000300 has 144 divisors (see below), whose sum is σ = 33214683186720. Its totient is φ = 4663357501440.

The previous prime is 13421342000299. The next prime is 13421342000357. The reversal of 13421342000300 is 300024312431.

It is a super-3 number, since 3×13421342000300³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157066187 + ... + 157151613.

It is an arithmetic number, because the mean of its divisors is an integer number (230657522130).

Almost surely, 2^{13421342000300} is an apocalyptic number.

13421342000300 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 13421342000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16607341593360).

13421342000300 is an abundant number, since it is smaller than the sum of its proper divisors (19793341186420).

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

13421342000300 is a wasteful number, since it uses less digits than its factorization.

13421342000300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92580 (or 92573 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 13421342000300 its reverse (300024312431), we get a palindrome (13721366312731).

The spelling of 13421342000300 in words is "thirteen trillion, four hundred twenty-one billion, three hundred forty-two million, three hundred", and thus it is an aban number.