311322133130130 has 64 divisors (see below), whose sum is σ = 830201254807680. Its totient is φ = 83018345522112.

The previous prime is 311322133129999. The next prime is 311322133130137. The reversal of 311322133130130 is 31031331223113.

311322133130130 is a `hidden beast` number, since 3 + 1 + 1 + 3 + 2 + 21 + 331 + 301 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 311322133130094 and 311322133130103.

It is not an unprimeable number, because it can be changed into a prime (311322133130137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19245777 + ... + 31512603.

It is an arithmetic number, because the mean of its divisors is an integer number (12971894606370).

Almost surely, 2^{311322133130130} is an apocalyptic number.

311322133130130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

311322133130130 is an abundant number, since it is smaller than the sum of its proper divisors (518879121677550).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

311322133130130 is a wasteful number, since it uses less digits than its factorization.

311322133130130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12360840 (or 12360834 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 311322133130130 its reverse (31031331223113), we get a palindrome (342353464353243).

The spelling of 311322133130130 in words is "three hundred eleven trillion, three hundred twenty-two billion, one hundred thirty-three million, one hundred thirty thousand, one hundred thirty".