20013013320300 has 1296 divisors, whose sum is σ = 87157706091456. Its totient is φ = 3734843904000.

The previous prime is 20013013320281. The next prime is 20013013320323. The reversal of 20013013320300 is 302331031002.

20013013320300 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 30 + 1 + 332 + 0 + 300 = 666.

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

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 431 ways as a sum of consecutive naturals, for example, 366639010 + ... + 366693590.

Almost surely, 2^{20013013320300} is an apocalyptic number.

20013013320300 is a gapful number since it is divisible by the number (20) 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 20013013320300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43578853045728).

20013013320300 is an abundant number, since it is smaller than the sum of its proper divisors (67144692771156).

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

20013013320300 is a wasteful number, since it uses less digits than its factorization.

20013013320300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54680 (or 54659 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 20013013320300 its reverse (302331031002), we get a palindrome (20315344351302).

The spelling of 20013013320300 in words is "twenty trillion, thirteen billion, thirteen million, three hundred twenty thousand, three hundred".