2013003031 has 16 divisors (see below), whose sum is σ = 2297199744. Its totient is φ = 1747459584.

The previous prime is 2013002983. The next prime is 2013003049. The reversal of 2013003031 is 1303003102.

It is a de Polignac number, because none of the positive numbers 2^k-2013003031 is a prime.

It is a super-2 number, since 2×2013003031² = 8104362405630373922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013003931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 353650 + ... + 359296.

It is an arithmetic number, because the mean of its divisors is an integer number (143574984).

Almost surely, 2^2013003031 is an apocalyptic number.

2013003031 is a deficient number, since it is larger than the sum of its proper divisors (284196713).

2013003031 is a wasteful number, since it uses less digits than its factorization.

2013003031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7290.

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 2013003031 is about 44866.5023263459. The cubic root of 2013003031 is about 1262.6456191998.

Adding to 2013003031 its reverse (1303003102), we get a palindrome (3316006133).

The spelling of 2013003031 in words is "two billion, thirteen million, three thousand, thirty-one".