2013313031 has 8 divisors (see below), whose sum is σ = 2019470880. Its totient is φ = 2007164448.

The previous prime is 2013312971. The next prime is 2013313037. The reversal of 2013313031 is 1303133102.

2013313031 = 153² + 154² + ... + 1821².

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 2013313031 - 2¹⁴ = 2013296647 is a prime.

It is a super-2 number, since 2×2013313031² = 8106858721588813922, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013313037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 811565 + ... + 814041.

It is an arithmetic number, because the mean of its divisors is an integer number (252433860).

Almost surely, 2^2013313031 is an apocalyptic number.

2013313031 is a deficient number, since it is larger than the sum of its proper divisors (6157849).

2013313031 is a wasteful number, since it uses less digits than its factorization.

2013313031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4633.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 2013313031 is about 44869.9568865405. The cubic root of 2013313031 is about 1262.7104311656.

Adding to 2013313031 its reverse (1303133102), we get a palindrome (3316446133).

The spelling of 2013313031 in words is "two billion, thirteen million, three hundred thirteen thousand, thirty-one".