2013003213131 has 4 divisors (see below), whose sum is σ = 2013006128472. Its totient is φ = 2013000297792.

The previous prime is 2013003213107. The next prime is 2013003213167. The reversal of 2013003213131 is 1313123003102.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 2013003213131 - 2²² = 2012999018827 is a prime.

It is a super-3 number, since 3×2013003213131³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2013003213181) 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, 227291 + ... + 2019323.

It is an arithmetic number, because the mean of its divisors is an integer number (503251532118).

Almost surely, 2^{2013003213131} is an apocalyptic number.

2013003213131 is a deficient number, since it is larger than the sum of its proper divisors (2915341).

2013003213131 is a wasteful number, since it uses less digits than its factorization.

2013003213131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2915340.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 2013003213131 its reverse (1313123003102), we get a palindrome (3326126216233).

The spelling of 2013003213131 in words is "two trillion, thirteen billion, three million, two hundred thirteen thousand, one hundred thirty-one".