2013031319 has 16 divisors (see below), whose sum is σ = 2338725312. Its totient is φ = 1715870208.

The previous prime is 2013031177. The next prime is 2013031331. The reversal of 2013031319 is 9131303102.

It is not a de Polignac number, because 2013031319 - 2⁸ = 2013031063 is a prime.

It is a super-2 number, since 2×2013031319² = 8104590182549759522, 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 = 2013031294 and 2013031303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013031519) 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, 74219 + ... + 97644.

It is an arithmetic number, because the mean of its divisors is an integer number (146170332).

Almost surely, 2^2013031319 is an apocalyptic number.

2013031319 is a deficient number, since it is larger than the sum of its proper divisors (325693993).

2013031319 is a wasteful number, since it uses less digits than its factorization.

2013031319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171946.

The product of its (nonzero) digits is 486, while the sum is 23.

The square root of 2013031319 is about 44866.8175715640. The cubic root of 2013031319 is about 1262.6515336721.

The spelling of 2013031319 in words is "two billion, thirteen million, thirty-one thousand, three hundred nineteen".