2010231112013 has 16 divisors (see below), whose sum is σ = 2018880223920. Its totient is φ = 2001604953600.

The previous prime is 2010231111947. The next prime is 2010231112027. The reversal of 2010231112013 is 3102111320102.

It can be written as a sum of positive squares in 8 ways, for example, as 54269429764 + 1955961682249 = 232958^2 + 1398557^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010231112013 - 2²⁶ = 2010164003149 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2010231111982 and 2010231112000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010231112093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 718708331 + ... + 718711127.

It is an arithmetic number, because the mean of its divisors is an integer number (126180013995).

Almost surely, 2^{2010231112013} is an apocalyptic number.

It is an amenable number.

2010231112013 is a deficient number, since it is larger than the sum of its proper divisors (8649111907).

2010231112013 is a wasteful number, since it uses less digits than its factorization.

2010231112013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5888.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 2010231112013 its reverse (3102111320102), we get a palindrome (5112342432115).

The spelling of 2010231112013 in words is "two trillion, ten billion, two hundred thirty-one million, one hundred twelve thousand, thirteen".