311121312132 has 96 divisors (see below), whose sum is σ = 756735396480. Its totient is φ = 99366543360.

The previous prime is 311121312127. The next prime is 311121312217. The reversal of 311121312132 is 231213121113.

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

It is a junction number, because it is equal to n+sod(n) for n = 311121312099 and 311121312108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28270543 + ... + 28281545.

It is an arithmetic number, because the mean of its divisors is an integer number (7882660380).

Almost surely, 2^311121312132 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 311121312132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378367698240).

311121312132 is an abundant number, since it is smaller than the sum of its proper divisors (445614084348).

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

311121312132 is a wasteful number, since it uses less digits than its factorization.

311121312132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11653 (or 11651 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

Adding to 311121312132 its reverse (231213121113), we get a palindrome (542334433245).

The spelling of 311121312132 in words is "three hundred eleven billion, one hundred twenty-one million, three hundred twelve thousand, one hundred thirty-two".