2013313212131 has 8 divisors (see below), whose sum is σ = 2168196122400. Its totient is φ = 1858432110912.

The previous prime is 2013313212103. The next prime is 2013313212161. The reversal of 2013313212131 is 1312123133102.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2013313212131 - 2³⁴ = 1996133342947 is a prime.

It is a super-2 number, since 2×2013313212131² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2013313212097 and 2013313212106.

It is not an unprimeable number, because it can be changed into a prime (2013313212161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2644631 + ... + 3319743.

It is an arithmetic number, because the mean of its divisors is an integer number (271024515300).

Almost surely, 2^{2013313212131} is an apocalyptic number.

2013313212131 is a deficient number, since it is larger than the sum of its proper divisors (154882910269).

2013313212131 is a wasteful number, since it uses less digits than its factorization.

2013313212131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904525.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 2013313212131 its reverse (1312123133102), we get a palindrome (3325436345233).

The spelling of 2013313212131 in words is "two trillion, thirteen billion, three hundred thirteen million, two hundred twelve thousand, one hundred thirty-one".