312201202102213 has 16 divisors (see below), whose sum is σ = 317863496092032. Its totient is φ = 306591765480000.

The previous prime is 312201202102211. The next prime is 312201202102253.

312201202102213 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 312201202102213 - 2¹ = 312201202102211 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 (312201202102211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19472008 + ... + 31679038.

It is an arithmetic number, because the mean of its divisors is an integer number (19866468505752).

Almost surely, 2^{312201202102213} is an apocalyptic number.

It is an amenable number.

312201202102213 is a deficient number, since it is larger than the sum of its proper divisors (5662293989819).

312201202102213 is a wasteful number, since it uses less digits than its factorization.

312201202102213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12209196.

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 31220120 and 2102213, that added together give a palindrome (33322333).

The spelling of 312201202102213 in words is "three hundred twelve trillion, two hundred one billion, two hundred two million, one hundred two thousand, two hundred thirteen".