311313132 has 144 divisors (see below), whose sum is σ = 893797632. Its totient is φ = 94167360.

The previous prime is 311313131. The next prime is 311313143. The reversal of 311313132 is 231313113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (311313131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 896983 + ... + 897329.

It is an arithmetic number, because the mean of its divisors is an integer number (6206928).

Almost surely, 2^311313132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311313132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446898816).

311313132 is an abundant number, since it is smaller than the sum of its proper divisors (582484500).

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

311313132 is a wasteful number, since it uses less digits than its factorization.

311313132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 436 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 311313132 is about 17644.0678983051. The cubic root of 311313132 is about 677.7442061148.

Adding to 311313132 its reverse (231313113), we get a palindrome (542626245).

The spelling of 311313132 in words is "three hundred eleven million, three hundred thirteen thousand, one hundred thirty-two".