13000014300 has 288 divisors, whose sum is σ = 47789830144. Its totient is φ = 2654208000.

The previous prime is 13000014283. The next prime is 13000014311. The reversal of 13000014300 is 341000031.

It is a Harshad number since it is a multiple of its sum of digits (12).

13000014300 is a modest number, since divided by 14300 gives 13000 as remainder.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 838620 + ... + 853980.

Almost surely, 2^13000014300 is an apocalyptic number.

13000014300 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 13000014300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23894915072).

13000014300 is an abundant number, since it is smaller than the sum of its proper divisors (34789815844).

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

13000014300 is a wasteful number, since it uses less digits than its factorization.

13000014300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15429 (or 15422 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 13000014300 its reverse (341000031), we get a palindrome (13341014331).

The spelling of 13000014300 in words is "thirteen billion, fourteen thousand, three hundred".