2123320122313 has 16 divisors (see below), whose sum is σ = 2335498583040. Its totient is φ = 1918126610496.

The previous prime is 2123320122311. The next prime is 2123320122377. The reversal of 2123320122313 is 3132210233212.

It is a cyclic number.

It is not a de Polignac number, because 2123320122313 - 2¹ = 2123320122311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2123320122311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7553856 + ... + 7829902.

It is an arithmetic number, because the mean of its divisors is an integer number (145968661440).

Almost surely, 2^{2123320122313} is an apocalyptic number.

It is an amenable number.

2123320122313 is a deficient number, since it is larger than the sum of its proper divisors (212178460727).

2123320122313 is a wasteful number, since it uses less digits than its factorization.

2123320122313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288696.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 2123320122313 its reverse (3132210233212), we get a palindrome (5255530355525).

The spelling of 2123320122313 in words is "two trillion, one hundred twenty-three billion, three hundred twenty million, one hundred twenty-two thousand, three hundred thirteen".