311012020210113 has 12 divisors (see below), whose sum is σ = 461381195147028. Its totient is φ = 201737526622560.

The previous prime is 311012020210103. The next prime is 311012020210123.

311012020210113 is a `hidden beast` number, since 311 + 0 + 12 + 0 + 20 + 210 + 113 = 666.

311012020210113 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (311012020210103) and next prime (311012020210123).

It can be written as a sum of positive squares in 2 ways, for example, as 141347536327089 + 169664483883024 = 11888967^2 + 13025532^2 .

It is not a de Polignac number, because 311012020210113 - 2²⁹ = 311011483339201 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (311012020210103) 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 11 ways as a sum of consecutive naturals, for example, 466985014998 + ... + 466985015663.

It is an arithmetic number, because the mean of its divisors is an integer number (38448432928919).

Almost surely, 2^{311012020210113} is an apocalyptic number.

It is an amenable number.

311012020210113 is a deficient number, since it is larger than the sum of its proper divisors (150369174936915).

311012020210113 is a wasteful number, since it uses less digits than its factorization.

311012020210113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933970030704 (or 933970030701 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 311012020210113 in words is "three hundred eleven trillion, twelve billion, twenty million, two hundred ten thousand, one hundred thirteen".