312111444111213 has 8 divisors (see below), whose sum is σ = 416149356844800. Its totient is φ = 208073913725888.

The previous prime is 312111444111211. The next prime is 312111444111241.

It is a happy number.

312111444111213 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 312111444111213 - 2¹ = 312111444111211 is a prime.

It is a super-5 number, since 5×312111444111213⁵ (a number of 74 digits) contains 55555 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312111444111211) 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 7 ways as a sum of consecutive naturals, for example, 93676908 + ... + 96951461.

It is an arithmetic number, because the mean of its divisors is an integer number (52018669605600).

Almost surely, 2^{312111444111213} is an apocalyptic number.

It is an amenable number.

312111444111213 is a deficient number, since it is larger than the sum of its proper divisors (104037912733587).

312111444111213 is a wasteful number, since it uses less digits than its factorization.

312111444111213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191174131.

The product of its digits is 2304, while the sum is 30.

The spelling of 312111444111213 in words is "three hundred twelve trillion, one hundred eleven billion, four hundred forty-four million, one hundred eleven thousand, two hundred thirteen".