312133222331213 has 32 divisors (see below), whose sum is σ = 343834032892896. Its totient is φ = 282206164451328.

The previous prime is 312133222331209. The next prime is 312133222331219.

312133222331213 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 16 ways, for example, as 12177217430569 + 299956004900644 = 3489587^2 + 17319238^2 .

It is not a de Polignac number, because 312133222331213 - 2² = 312133222331209 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 312133222331213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312133222331219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8308856 + ... + 26330657.

It is an arithmetic number, because the mean of its divisors is an integer number (10744813527903).

Almost surely, 2^{312133222331213} is an apocalyptic number.

It is an amenable number.

312133222331213 is a deficient number, since it is larger than the sum of its proper divisors (31700810561683).

312133222331213 is a wasteful number, since it uses less digits than its factorization.

312133222331213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34639793.

The product of its digits is 23328, while the sum is 32.

The spelling of 312133222331213 in words is "three hundred twelve trillion, one hundred thirty-three billion, two hundred twenty-two million, three hundred thirty-one thousand, two hundred thirteen".