2013105431 has 8 divisors (see below), whose sum is σ = 2022113184. Its totient is φ = 2004112800.

The previous prime is 2013105407. The next prime is 2013105433. The reversal of 2013105431 is 1345013102.

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

It is a cyclic number.

It is not a de Polignac number, because 2013105431 - 2¹⁰ = 2013104407 is a prime.

It is a super-3 number, since 3×2013105431³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013105433) 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, 324206 + ... + 330356.

It is an arithmetic number, because the mean of its divisors is an integer number (252764148).

Almost surely, 2^2013105431 is an apocalyptic number.

2013105431 is a deficient number, since it is larger than the sum of its proper divisors (9007753).

2013105431 is a wasteful number, since it uses less digits than its factorization.

2013105431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7561.

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 2013105431 is about 44867.6434750032. The cubic root of 2013105431 is about 1262.6670287915.

Adding to 2013105431 its reverse (1345013102), we get a palindrome (3358118533).

The spelling of 2013105431 in words is "two billion, thirteen million, one hundred five thousand, four hundred thirty-one".