311122101213 has 72 divisors (see below), whose sum is σ = 571940909280. Its totient is φ = 161155229760.

The previous prime is 311122101187. The next prime is 311122101293. The reversal of 311122101213 is 312101221113.

It is not a de Polignac number, because 311122101213 - 2⁶ = 311122101149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311122101293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1590883 + ... + 1775711.

It is an arithmetic number, because the mean of its divisors is an integer number (7943623740).

Almost surely, 2^311122101213 is an apocalyptic number.

311122101213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

311122101213 is a deficient number, since it is larger than the sum of its proper divisors (260818808067).

311122101213 is a wasteful number, since it uses less digits than its factorization.

311122101213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185207 (or 185197 counting only the distinct ones).

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

Adding to 311122101213 its reverse (312101221113), we get a palindrome (623223322326).

The spelling of 311122101213 in words is "three hundred eleven billion, one hundred twenty-two million, one hundred one thousand, two hundred thirteen".