311122121221113 has 16 divisors (see below), whose sum is σ = 426094903998720. Its totient is φ = 201783458779776.

The previous prime is 311122121221081. The next prime is 311122121221217.

311122121221113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 311122121221113 - 2⁵ = 311122121221081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311122121221313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176094220 + ... + 177852237.

It is an arithmetic number, because the mean of its divisors is an integer number (26630931499920).

Almost surely, 2^{311122121221113} is an apocalyptic number.

It is an amenable number.

311122121221113 is a deficient number, since it is larger than the sum of its proper divisors (114972782777607).

311122121221113 is a wasteful number, since it uses less digits than its factorization.

311122121221113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353954416.

The product of its digits is 288, while the sum is 24.

The spelling of 311122121221113 in words is "three hundred eleven trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred twenty-one thousand, one hundred thirteen".