3013201311319 has 16 divisors (see below), whose sum is σ = 3219711068160. Its totient is φ = 2811564756000.

The previous prime is 3013201311311. The next prime is 3013201311347. The reversal of 3013201311319 is 9131131023103.

It is a cyclic number.

It is not a de Polignac number, because 3013201311319 - 2³ = 3013201311311 is a prime.

It is a super-2 number, since 2×3013201311319² (a number of 26 digits) 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 (3013201311311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209889 + ... + 2463829.

It is an arithmetic number, because the mean of its divisors is an integer number (201231941760).

Almost surely, 2^{3013201311319} is an apocalyptic number.

3013201311319 is a deficient number, since it is larger than the sum of its proper divisors (206509756841).

3013201311319 is a wasteful number, since it uses less digits than its factorization.

3013201311319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2255022.

The product of its (nonzero) digits is 1458, while the sum is 28.

The spelling of 3013201311319 in words is "three trillion, thirteen billion, two hundred one million, three hundred eleven thousand, three hundred nineteen".