311321133312 has 144 divisors (see below), whose sum is σ = 948996757632. Its totient is φ = 88755240960.

The previous prime is 311321133311. The next prime is 311321133317. The reversal of 311321133312 is 213331123113.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (311321133311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2415528 + ... + 2541144.

Almost surely, 2^311321133312 is an apocalyptic number.

311321133312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311321133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474498378816).

311321133312 is an abundant number, since it is smaller than the sum of its proper divisors (637675624320).

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

311321133312 is a wasteful number, since it uses less digits than its factorization.

311321133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126104 (or 126090 counting only the distinct ones).

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

Adding to 311321133312 its reverse (213331123113), we get a palindrome (524652256425).

The spelling of 311321133312 in words is "three hundred eleven billion, three hundred twenty-one million, one hundred thirty-three thousand, three hundred twelve".