311121121121113 has 8 divisors (see below), whose sum is σ = 332683971101640. Its totient is φ = 289920671980800.

The previous prime is 311121121121077. The next prime is 311121121121119.

311121121121113 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 260480135523609 + 50640985597504 = 16139397^2 + 7116248^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 311121121121113 - 2²¹ = 311121119023961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311121121121119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90600208278 + ... + 90600211711.

It is an arithmetic number, because the mean of its divisors is an integer number (41585496387705).

Almost surely, 2^{311121121121113} is an apocalyptic number.

It is an amenable number.

311121121121113 is a deficient number, since it is larger than the sum of its proper divisors (21562849980527).

311121121121113 is a wasteful number, since it uses less digits than its factorization.

311121121121113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181200420107.

The product of its digits is 72, while the sum is 22.

The spelling of 311121121121113 in words is "three hundred eleven trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred thirteen".