312121303121213 has 16 divisors (see below), whose sum is σ = 330861236025600. Its totient is φ = 293423764816896.

The previous prime is 312121303121207. The next prime is 312121303121249.

312121303121213 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 312121303121213 - 2⁴² = 307723256610109 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312121303121113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50119445 + ... + 56001797.

It is an arithmetic number, because the mean of its divisors is an integer number (20678827251600).

Almost surely, 2^{312121303121213} is an apocalyptic number.

It is an amenable number.

312121303121213 is a deficient number, since it is larger than the sum of its proper divisors (18739932904387).

312121303121213 is a wasteful number, since it uses less digits than its factorization.

312121303121213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5885956.

The product of its (nonzero) digits is 1296, while the sum is 26.

It can be divided in two parts, 31212130 and 3121213, that added together give a palindrome (34333343).

The spelling of 312121303121213 in words is "three hundred twelve trillion, one hundred twenty-one billion, three hundred three million, one hundred twenty-one thousand, two hundred thirteen".