312120121021213 has 8 divisors (see below), whose sum is σ = 318705197077368. Its totient is φ = 305597462747904.

The previous prime is 312120121021171. The next prime is 312120121021217.

It is a happy number.

312120121021213 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 34879572127449 + 277240548893764 = 5905893^2 + 16650542^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312120121021213 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 (312120121021217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15604435606 + ... + 15604455607.

It is an arithmetic number, because the mean of its divisors is an integer number (39838149634671).

Almost surely, 2^{312120121021213} is an apocalyptic number.

It is an amenable number.

312120121021213 is a deficient number, since it is larger than the sum of its proper divisors (6585076056155).

312120121021213 is a wasteful number, since it uses less digits than its factorization.

312120121021213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31208891423.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 312120121021213 in words is "three hundred twelve trillion, one hundred twenty billion, one hundred twenty-one million, twenty-one thousand, two hundred thirteen".