311011122111101 has 8 divisors (see below), whose sum is σ = 318601882912824. Its totient is φ = 303420605294080.

The previous prime is 311011122111059. The next prime is 311011122111167. The reversal of 311011122111101 is 101111221110113.

It can be written as a sum of positive squares in 4 ways, for example, as 4349769072100 + 306661353039001 = 2085610^2 + 17511749^2 .

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 311011122111101 - 2²⁶ = 311011055002237 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 311011122111101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311013122111101) 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, 58414316 + ... + 63515781.

It is an arithmetic number, because the mean of its divisors is an integer number (39825235364103).

Almost surely, 2^{311011122111101} is an apocalyptic number.

It is an amenable number.

311011122111101 is a deficient number, since it is larger than the sum of its proper divisors (7590760801723).

311011122111101 is a wasteful number, since it uses less digits than its factorization.

311011122111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121992351.

The product of its (nonzero) digits is 12, while the sum is 17.

Adding to 311011122111101 its reverse (101111221110113), we get a palindrome (412122343221214).

The spelling of 311011122111101 in words is "three hundred eleven trillion, eleven billion, one hundred twenty-two million, one hundred eleven thousand, one hundred one".