2013210313131 has 16 divisors (see below), whose sum is σ = 2686115520000. Its totient is φ = 1341222982848.

The previous prime is 2013210313111. The next prime is 2013210313141. The reversal of 2013210313131 is 1313130123102.

It is a happy number.

It is not a de Polignac number, because 2013210313131 - 2⁵ = 2013210313099 is a prime.

It is a super-2 number, since 2×2013210313131² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2013210313098 and 2013210313107.

It is not an unprimeable number, because it can be changed into a prime (2013210313111) 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 15 ways as a sum of consecutive naturals, for example, 26674410 + ... + 26749776.

It is an arithmetic number, because the mean of its divisors is an integer number (167882220000).

Almost surely, 2^{2013210313131} is an apocalyptic number.

2013210313131 is a deficient number, since it is larger than the sum of its proper divisors (672905206869).

2013210313131 is a wasteful number, since it uses less digits than its factorization.

2013210313131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81338.

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

Adding to 2013210313131 its reverse (1313130123102), we get a palindrome (3326340436233).

The spelling of 2013210313131 in words is "two trillion, thirteen billion, two hundred ten million, three hundred thirteen thousand, one hundred thirty-one".