2000013000020 has 144 divisors (see below), whose sum is σ = 4947362945280. Its totient is φ = 665209678848.

The previous prime is 2000012999939. The next prime is 2000013000043. The reversal of 2000013000020 is 200003100002.

It is a junction number, because it is equal to n+sod(n) for n = 2000012999971 and 2000013000007.

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 47 ways as a sum of consecutive naturals, for example, 34971569 + ... + 35028711.

It is an arithmetic number, because the mean of its divisors is an integer number (34356687120).

Almost surely, 2^{2000013000020} is an apocalyptic number.

2000013000020 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 2000013000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2473681472640).

2000013000020 is an abundant number, since it is smaller than the sum of its proper divisors (2947349945260).

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

2000013000020 is a wasteful number, since it uses less digits than its factorization.

2000013000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57354 (or 57299 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

Adding to 2000013000020 its reverse (200003100002), we get a palindrome (2200016100022).

The spelling of 2000013000020 in words is "two trillion, thirteen million, twenty", and thus it is an aban number and an uban number.