312233222332213 has 32 divisors (see below), whose sum is σ = 406908496270080. Its totient is φ = 232500474178560.

The previous prime is 312233222332177. The next prime is 312233222332237.

312233222332213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312233222332213 - 2¹³ = 312233222324021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312233222332243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34619578 + ... + 42696388.

It is an arithmetic number, because the mean of its divisors is an integer number (12715890508440).

Almost surely, 2^{312233222332213} is an apocalyptic number.

It is an amenable number.

312233222332213 is a deficient number, since it is larger than the sum of its proper divisors (94675273937867).

312233222332213 is a wasteful number, since it uses less digits than its factorization.

312233222332213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8101837.

The product of its digits is 93312, while the sum is 34.

The spelling of 312233222332213 in words is "three hundred twelve trillion, two hundred thirty-three billion, two hundred twenty-two million, three hundred thirty-two thousand, two hundred thirteen".