2013201000020 has 24 divisors (see below), whose sum is σ = 4831682400384. Its totient is φ = 690240342816.

The previous prime is 2013200999987. The next prime is 2013201000061. The reversal of 2013201000020 is 200001023102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2013200999965 and 2013201000010.

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 7 ways as a sum of consecutive naturals, for example, 7190003432 + ... + 7190003711.

It is an arithmetic number, because the mean of its divisors is an integer number (201320100016).

Almost surely, 2^{2013201000020} is an apocalyptic number.

2013201000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013201000020 is an abundant number, since it is smaller than the sum of its proper divisors (2818481400364).

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

2013201000020 is a wasteful number, since it uses less digits than its factorization.

2013201000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14380007159 (or 14380007157 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 2013201000020 its reverse (200001023102), we get a palindrome (2213202023122).

The spelling of 2013201000020 in words is "two trillion, thirteen billion, two hundred one million, twenty", and thus it is an aban number.