3111300031113 has 24 divisors (see below), whose sum is σ = 4759836150888. Its totient is φ = 1951623217152.

The previous prime is 3111300031109. The next prime is 3111300031121.

3111300031113 is a `hidden beast` number, since 31 + 11 + 300 + 0 + 311 + 13 = 666.

3111300031113 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 377343604089 + 2733956427024 = 614283^2 + 1653468^2 .

It is not a de Polignac number, because 3111300031113 - 2² = 3111300031109 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3111300031153) 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 23 ways as a sum of consecutive naturals, for example, 2412256 + ... + 3470097.

It is an arithmetic number, because the mean of its divisors is an integer number (198326506287).

Almost surely, 2^{3111300031113} is an apocalyptic number.

It is an amenable number.

3111300031113 is a deficient number, since it is larger than the sum of its proper divisors (1648536119775).

3111300031113 is a wasteful number, since it uses less digits than its factorization.

3111300031113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5885833 (or 5885830 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

It can be divided in two parts, 31113000 and 31113, that added together give a palindrome (31144113).

The spelling of 3111300031113 in words is "three trillion, one hundred eleven billion, three hundred million, thirty-one thousand, one hundred thirteen".