13000343241300 has 144 divisors (see below), whose sum is σ = 38452138905600. Its totient is φ = 3390155772800.

The previous prime is 13000343241299. The next prime is 13000343241329. The reversal of 13000343241300 is 314234300031.

It is a super-2 number, since 2×13000343241300² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1457971 + ... + 5303429.

It is an arithmetic number, because the mean of its divisors is an integer number (267028742400).

Almost surely, 2^{13000343241300} is an apocalyptic number.

13000343241300 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 13000343241300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19226069452800).

13000343241300 is an abundant number, since it is smaller than the sum of its proper divisors (25451795664300).

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

13000343241300 is a wasteful number, since it uses less digits than its factorization.

13000343241300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3845726 (or 3845719 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13000343241300 its reverse (314234300031), we get a palindrome (13314577541331).

The spelling of 13000343241300 in words is "thirteen trillion, three hundred forty-three million, two hundred forty-one thousand, three hundred".