311311113213121 has 16 divisors (see below), whose sum is σ = 355974869195776. Its totient is φ = 266695079579136.

The previous prime is 311311113213077. The next prime is 311311113213137. The reversal of 311311113213121 is 121312311113113.

It is a cyclic number.

It is not a de Polignac number, because 311311113213121 - 2¹¹ = 311311113211073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311311113210121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98587645 + ... + 101696341.

It is an arithmetic number, because the mean of its divisors is an integer number (22248429324736).

Almost surely, 2^{311311113213121} is an apocalyptic number.

It is an amenable number.

311311113213121 is a deficient number, since it is larger than the sum of its proper divisors (44663755982655).

311311113213121 is a wasteful number, since it uses less digits than its factorization.

311311113213121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3116368.

The product of its digits is 324, while the sum is 25.

Adding to 311311113213121 its reverse (121312311113113), we get a palindrome (432623424326234).

The spelling of 311311113213121 in words is "three hundred eleven trillion, three hundred eleven billion, one hundred thirteen million, two hundred thirteen thousand, one hundred twenty-one".