3123322013313 has 24 divisors (see below), whose sum is σ = 4556481945600. Its totient is φ = 2061506147904.

The previous prime is 3123322013213. The next prime is 3123322013333. The reversal of 3123322013313 is 3133102233213.

3123322013313 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 322 + 0 + 1 + 331 + 3 = 666.

It is not a de Polignac number, because 3123322013313 - 2¹⁰ = 3123322012289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3123322013333) 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 23 ways as a sum of consecutive naturals, for example, 2304868 + ... + 3399861.

It is an arithmetic number, because the mean of its divisors is an integer number (189853414400).

Almost surely, 2^{3123322013313} is an apocalyptic number.

It is an amenable number.

3123322013313 is a deficient number, since it is larger than the sum of its proper divisors (1433159932287).

3123322013313 is a wasteful number, since it uses less digits than its factorization.

3123322013313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5705341 (or 5705338 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 3123322013313 its reverse (3133102233213), we get a palindrome (6256424246526).

The spelling of 3123322013313 in words is "three trillion, one hundred twenty-three billion, three hundred twenty-two million, thirteen thousand, three hundred thirteen".