3123013313013 has 16 divisors (see below), whose sum is σ = 4545112613376. Its totient is φ = 1891673760240.

The previous prime is 3123013313009. The next prime is 3123013313027. The reversal of 3123013313013 is 3103133103213.

3123013313013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3123013313013 - 2² = 3123013313009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3123013313093) 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, 26479795 + ... + 26597472.

It is an arithmetic number, because the mean of its divisors is an integer number (284069538336).

Almost surely, 2^{3123013313013} is an apocalyptic number.

3123013313013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3123013313013 is a deficient number, since it is larger than the sum of its proper divisors (1422099300363).

3123013313013 is a wasteful number, since it uses less digits than its factorization.

3123013313013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53079064.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 3123013313013 its reverse (3103133103213), we get a palindrome (6226146416226).

The spelling of 3123013313013 in words is "three trillion, one hundred twenty-three billion, thirteen million, three hundred thirteen thousand, thirteen".