311122001213 has 48 divisors (see below), whose sum is σ = 354450902400. Its totient is φ = 272353382400.

The previous prime is 311122001147. The next prime is 311122001231. The reversal of 311122001213 is 312100221113.

It is a de Polignac number, because none of the positive numbers 2^k-311122001213 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 311122001191 and 311122001200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311122001233) 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 47 ways as a sum of consecutive naturals, for example, 90204713 + ... + 90208161.

It is an arithmetic number, because the mean of its divisors is an integer number (7384393800).

Almost surely, 2^311122001213 is an apocalyptic number.

It is an amenable number.

311122001213 is a deficient number, since it is larger than the sum of its proper divisors (43328901187).

311122001213 is a wasteful number, since it uses less digits than its factorization.

311122001213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3878 (or 3861 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 311122001213 its reverse (312100221113), we get a palindrome (623222222326).

The spelling of 311122001213 in words is "three hundred eleven billion, one hundred twenty-two million, one thousand, two hundred thirteen".