2013312331 has 16 divisors (see below), whose sum is σ = 2084696064. Its totient is φ = 1943180064.

The previous prime is 2013312293. The next prime is 2013312341. The reversal of 2013312331 is 1332133102.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2013312331 is a prime.

It is a super-2 number, since 2×2013312331² = 8106853084313307122, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2013312299 and 2013312308.

It is not an unprimeable number, because it can be changed into a prime (2013312341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1730556 + ... + 1731718.

It is an arithmetic number, because the mean of its divisors is an integer number (130293504).

Almost surely, 2^2013312331 is an apocalyptic number.

2013312331 is a deficient number, since it is larger than the sum of its proper divisors (71383733).

2013312331 is a wasteful number, since it uses less digits than its factorization.

2013312331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650.

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 2013312331 is about 44869.9490862203. The cubic root of 2013312331 is about 1262.7102848235.

Adding to 2013312331 its reverse (1332133102), we get a palindrome (3345445433).

The spelling of 2013312331 in words is "two billion, thirteen million, three hundred twelve thousand, three hundred thirty-one".