13414310300 has 72 divisors (see below), whose sum is σ = 29931542592. Its totient is φ = 5215104000.

The previous prime is 13414310293. The next prime is 13414310317. The reversal of 13414310300 is 301341431.

13414310300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×13414310300³ (a number of 31 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1105064 + ... + 1117136.

Almost surely, 2^13414310300 is an apocalyptic number.

13414310300 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 13414310300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14965771296).

13414310300 is an abundant number, since it is smaller than the sum of its proper divisors (16517232292).

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

13414310300 is a wasteful number, since it uses less digits than its factorization.

13414310300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12399 (or 12392 counting only the distinct ones).

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

Adding to 13414310300 its reverse (301341431), we get a palindrome (13715651731).

The spelling of 13414310300 in words is "thirteen billion, four hundred fourteen million, three hundred ten thousand, three hundred".