2011031310020 has 24 divisors (see below), whose sum is σ = 4223505838104. Its totient is φ = 804347745536.

The previous prime is 2011031309981. The next prime is 2011031310061. The reversal of 2011031310020 is 200131301102.

It can be written as a sum of positive squares in 4 ways, for example, as 1192044676 + 2009839265344 = 34526^2 + 1417688^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2011031309977 and 2011031310004.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3793697 + ... + 4291176.

It is an arithmetic number, because the mean of its divisors is an integer number (175979409921).

Almost surely, 2^{2011031310020} is an apocalyptic number.

2011031310020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011031310020 is an abundant number, since it is smaller than the sum of its proper divisors (2212474528084).

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

2011031310020 is a wasteful number, since it uses less digits than its factorization.

2011031310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8097319 (or 8097317 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 2011031310020 its reverse (200131301102), we get a palindrome (2211162611122).

The spelling of 2011031310020 in words is "two trillion, eleven billion, thirty-one million, three hundred ten thousand, twenty".