311313321132 has 48 divisors (see below), whose sum is σ = 819759225600. Its totient is φ = 91084356160.

The previous prime is 311313321127. The next prime is 311313321133. The reversal of 311313321132 is 231123313113.

It is a super-2 number, since 2×311313321132² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (311313321133) 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, 40658832 + ... + 40666487.

It is an arithmetic number, because the mean of its divisors is an integer number (17078317200).

Almost surely, 2^311313321132 is an apocalyptic number.

It is an amenable number.

311313321132 is an abundant number, since it is smaller than the sum of its proper divisors (508445904468).

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

311313321132 is a wasteful number, since it uses less digits than its factorization.

311313321132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81325366 (or 81325364 counting only the distinct ones).

The product of its digits is 972, while the sum is 24.

Adding to 311313321132 its reverse (231123313113), we get a palindrome (542436634245).

The spelling of 311313321132 in words is "three hundred eleven billion, three hundred thirteen million, three hundred twenty-one thousand, one hundred thirty-two".