310123000321013 has 12 divisors (see below), whose sum is σ = 340919006063244. Its totient is φ = 281896912862400.

The previous prime is 310123000320971. The next prime is 310123000321037.

310123000321013 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 200488551722404 + 109634448598609 = 14159398^2 + 10470647^2 .

It is not a de Polignac number, because 310123000321013 - 2¹⁸ = 310123000058869 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310123000321093) 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 11 ways as a sum of consecutive naturals, for example, 149362106 + ... + 151424187.

It is an arithmetic number, because the mean of its divisors is an integer number (28409917171937).

Almost surely, 2^{310123000321013} is an apocalyptic number.

It is an amenable number.

310123000321013 is a deficient number, since it is larger than the sum of its proper divisors (30796005742231).

310123000321013 is a wasteful number, since it uses less digits than its factorization.

310123000321013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300794836 (or 300794825 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

It can be divided in two parts, 310123000 and 321013, that added together give a palindrome (310444013).

The spelling of 310123000321013 in words is "three hundred ten trillion, one hundred twenty-three billion, three hundred twenty-one thousand, thirteen".