2010332131113 has 32 divisors (see below), whose sum is σ = 2800656758016. Its totient is φ = 1280268557568.

The previous prime is 2010332131091. The next prime is 2010332131133. The reversal of 2010332131113 is 3111312330102.

It is a happy number.

It is not a de Polignac number, because 2010332131113 - 2¹³ = 2010332122921 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2010332131113.

It is not an unprimeable number, because it can be changed into a prime (2010332131133) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 274144995 + ... + 274152327.

It is an arithmetic number, because the mean of its divisors is an integer number (87520523688).

Almost surely, 2^{2010332131113} is an apocalyptic number.

2010332131113 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2010332131113 is a deficient number, since it is larger than the sum of its proper divisors (790324626903).

2010332131113 is a wasteful number, since it uses less digits than its factorization.

2010332131113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12033.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 2010332131113 its reverse (3111312330102), we get a palindrome (5121644461215).

The spelling of 2010332131113 in words is "two trillion, ten billion, three hundred thirty-two million, one hundred thirty-one thousand, one hundred thirteen".