2001312000020 has 12 divisors (see below), whose sum is σ = 4202755200084. Its totient is φ = 800524800000.

The previous prime is 2001311999983. The next prime is 2001312000029. The reversal of 2001312000020 is 200002131002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 532450414864 + 1468861585156 = 729692^2 + 1211966^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2001311999965 and 2001312000010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001312000029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50032799981 + ... + 50032800020.

It is an arithmetic number, because the mean of its divisors is an integer number (350229600007).

Almost surely, 2^{2001312000020} is an apocalyptic number.

2001312000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001312000020 is an abundant number, since it is smaller than the sum of its proper divisors (2201443200064).

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

2001312000020 is a wasteful number, since it uses less digits than its factorization.

2001312000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100065600010 (or 100065600008 counting only the distinct ones).

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

Adding to 2001312000020 its reverse (200002131002), we get a palindrome (2201314131022).

The spelling of 2001312000020 in words is "two trillion, one billion, three hundred twelve million, twenty", and thus it is an aban number.