312213303312213 has 8 divisors (see below), whose sum is σ = 416299850496576. Its totient is φ = 208134479168000.

The previous prime is 312213303312203. The next prime is 312213303312241.

312213303312213 is nontrivially palindromic in base 10.

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

It is a cyclic number.

It is not a de Polignac number, because 312213303312213 - 2⁸ = 312213303311957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312213303312203) 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, 1930665708 + ... + 1930827413.

It is an arithmetic number, because the mean of its divisors is an integer number (52037481312072).

Almost surely, 2^{312213303312213} is an apocalyptic number.

It is an amenable number.

312213303312213 is a deficient number, since it is larger than the sum of its proper divisors (104086547184363).

312213303312213 is a wasteful number, since it uses less digits than its factorization.

312213303312213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3861520075.

The product of its (nonzero) digits is 11664, while the sum is 30.

It can be divided in two parts, 31221330 and 3312213, that added together give a palindrome (34533543).

The spelling of 312213303312213 in words is "three hundred twelve trillion, two hundred thirteen billion, three hundred three million, three hundred twelve thousand, two hundred thirteen".