13000821031300 has 18 divisors (see below), whose sum is σ = 28211781638138. Its totient is φ = 5200328412480.

The previous prime is 13000821031273. The next prime is 13000821031301. The reversal of 13000821031300 is 313012800031.

13000821031300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 671495024704 + 12329326006596 = 819448^2 + 3511314^2 .

It is not an unprimeable number, because it can be changed into a prime (13000821031301) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 65004105057 + ... + 65004105256.

Almost surely, 2^{13000821031300} is an apocalyptic number.

13000821031300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13000821031300 is an abundant number, since it is smaller than the sum of its proper divisors (15210960606838).

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

13000821031300 is a wasteful number, since it uses less digits than its factorization.

13000821031300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130008210327 (or 130008210320 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 13000821031300 its reverse (313012800031), we get a palindrome (13313833831331).

The spelling of 13000821031300 in words is "thirteen trillion, eight hundred twenty-one million, thirty-one thousand, three hundred".