13000300333020 has 1728 divisors, whose sum is σ = 56688190191360. Its totient is φ = 2342126223360.

The previous prime is 13000300332997. The next prime is 13000300333079. The reversal of 13000300333020 is 2033300300031.

13000300333020 is a `hidden beast` number, since 1 + 30 + 0 + 0 + 300 + 3 + 330 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13000300332984 and 13000300333002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2126661484 + ... + 2126667596.

It is an arithmetic number, because the mean of its divisors is an integer number (32805665620).

Almost surely, 2^{13000300333020} is an apocalyptic number.

13000300333020 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 13000300333020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28344095095680).

13000300333020 is an abundant number, since it is smaller than the sum of its proper divisors (43687889858340).

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

13000300333020 is a wasteful number, since it uses less digits than its factorization.

13000300333020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6236 (or 6220 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 13000300333020 its reverse (2033300300031), we get a palindrome (15033600633051).

The spelling of 13000300333020 in words is "thirteen trillion, three hundred million, three hundred thirty-three thousand, twenty".