311011343110113 has 48 divisors (see below), whose sum is σ = 453934734146496. Its totient is φ = 189227072764800.

The previous prime is 311011343110103. The next prime is 311011343110141.

311011343110113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 311011343110113 - 2¹⁷ = 311011342979041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311011343110103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34376131 + ... + 42470472.

It is an arithmetic number, because the mean of its divisors is an integer number (9456973628052).

Almost surely, 2^{311011343110113} is an apocalyptic number.

It is an amenable number.

311011343110113 is a deficient number, since it is larger than the sum of its proper divisors (142923391036383).

311011343110113 is a wasteful number, since it uses less digits than its factorization.

311011343110113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76846782 (or 76846763 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The spelling of 311011343110113 in words is "three hundred eleven trillion, eleven billion, three hundred forty-three million, one hundred ten thousand, one hundred thirteen".