312221202122213 has 16 divisors (see below), whose sum is σ = 315817932545280. Its totient is φ = 308634423552000.

The previous prime is 312221202122197. The next prime is 312221202122233.

312221202122213 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 312221202122213 - 2⁴ = 312221202122197 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 (312221202122233) 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, 1737493856 + ... + 1737673542.

It is an arithmetic number, because the mean of its divisors is an integer number (19738620784080).

Almost surely, 2^{312221202122213} is an apocalyptic number.

It is an amenable number.

312221202122213 is a deficient number, since it is larger than the sum of its proper divisors (3596730423067).

312221202122213 is a wasteful number, since it uses less digits than its factorization.

312221202122213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207268.

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 31222120 and 2122213, that added together give a palindrome (33344333).

The spelling of 312221202122213 in words is "three hundred twelve trillion, two hundred twenty-one billion, two hundred two million, one hundred twenty-two thousand, two hundred thirteen".