3111334331113 has 2 divisors, whose sum is σ = 3111334331114. Its totient is φ = 3111334331112.

The previous prime is 3111334331111. The next prime is 3111334331143.

3111334331113 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2074945178089 + 1036389153024 = 1440467^2 + 1018032^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 3111334331113 - 2¹ = 3111334331111 is a prime.

Together with 3111334331111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (3111334331111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1555667165556 + 1555667165557.

It is an arithmetic number, because the mean of its divisors is an integer number (1555667165557).

Almost surely, 2^{3111334331113} is an apocalyptic number.

It is an amenable number.

3111334331113 is a deficient number, since it is larger than the sum of its proper divisors (1).

3111334331113 is an equidigital number, since it uses as much as digits as its factorization.

3111334331113 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2916, while the sum is 28.

The spelling of 3111334331113 in words is "three trillion, one hundred eleven billion, three hundred thirty-four million, three hundred thirty-one thousand, one hundred thirteen".