2010113131313 has 4 divisors (see below), whose sum is σ = 2297272150080. Its totient is φ = 1722954112548.

The previous prime is 2010113131219. The next prime is 2010113131319. The reversal of 2010113131313 is 3131313110102.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 2010113131313 - 2¹⁶ = 2010113065777 is a prime.

It is a super-2 number, since 2×2010113131313² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2010113131319) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 143579509373 + ... + 143579509386.

It is an arithmetic number, because the mean of its divisors is an integer number (574318037520).

Almost surely, 2^{2010113131313} is an apocalyptic number.

It is an amenable number.

2010113131313 is a deficient number, since it is larger than the sum of its proper divisors (287159018767).

2010113131313 is an equidigital number, since it uses as much as digits as its factorization.

2010113131313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287159018766.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 2010113131313 its reverse (3131313110102), we get a palindrome (5141426241415).

The spelling of 2010113131313 in words is "two trillion, ten billion, one hundred thirteen million, one hundred thirty-one thousand, three hundred thirteen".