311214666412113 has 32 divisors (see below), whose sum is σ = 419494611508992. Its totient is φ = 205209856512000.

The previous prime is 311214666412109. The next prime is 311214666412129.

311214666412113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 311214666412113 - 2² = 311214666412109 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311214666412193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8627339445 + ... + 8627375517.

It is an arithmetic number, because the mean of its divisors is an integer number (13109206609656).

Almost surely, 2^{311214666412113} is an apocalyptic number.

It is an amenable number.

311214666412113 is a deficient number, since it is larger than the sum of its proper divisors (108279945096879).

311214666412113 is a wasteful number, since it uses less digits than its factorization.

311214666412113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64825.

The product of its digits is 124416, while the sum is 42.

The spelling of 311214666412113 in words is "three hundred eleven trillion, two hundred fourteen billion, six hundred sixty-six million, four hundred twelve thousand, one hundred thirteen".