311505666505113 has 4 divisors (see below), whose sum is σ = 415340888673488. Its totient is φ = 207670444336740.

The previous prime is 311505666505073. The next prime is 311505666505177.

It is a happy number.

311505666505113 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 311505666505113 - 2¹⁷ = 311505666374041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311505666505613) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51917611084183 + ... + 51917611084188.

It is an arithmetic number, because the mean of its divisors is an integer number (103835222168372).

Almost surely, 2^{311505666505113} is an apocalyptic number.

It is an amenable number.

311505666505113 is a deficient number, since it is larger than the sum of its proper divisors (103835222168375).

311505666505113 is a wasteful number, since it uses less digits than its factorization.

311505666505113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103835222168374.

The product of its (nonzero) digits is 1215000, while the sum is 48.

The spelling of 311505666505113 in words is "three hundred eleven trillion, five hundred five billion, six hundred sixty-six million, five hundred five thousand, one hundred thirteen".