312211303112213 has 16 divisors (see below), whose sum is σ = 321807799541760. Its totient is φ = 302803982208000.

The previous prime is 312211303112161. The next prime is 312211303112297.

312211303112213 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 312211303112213 - 2⁴⁰ = 311111791484437 is a prime.

It is a super-2 number, since 2×312211303112213² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312211303192213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153038348 + ... + 155065013.

It is an arithmetic number, because the mean of its divisors is an integer number (20112987471360).

Almost surely, 2^{312211303112213} is an apocalyptic number.

It is an amenable number.

312211303112213 is a deficient number, since it is larger than the sum of its proper divisors (9596496429547).

312211303112213 is a wasteful number, since it uses less digits than its factorization.

312211303112213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308103668.

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

It can be divided in two parts, 31221130 and 3112213, that added together give a palindrome (34333343).

The spelling of 312211303112213 in words is "three hundred twelve trillion, two hundred eleven billion, three hundred three million, one hundred twelve thousand, two hundred thirteen".