311113321023132 has 288 divisors, whose sum is σ = 854436571881984. Its totient is φ = 95062819737600.

The previous prime is 311113321023067. The next prime is 311113321023199. The reversal of 311113321023132 is 231320123311113.

311113321023132 is a `hidden beast` number, since 3 + 1 + 1 + 1 + 1 + 332 + 10 + 2 + 313 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 311113321023096 and 311113321023105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42577431823 + ... + 42577439129.

It is an arithmetic number, because the mean of its divisors is an integer number (2966793652368).

Almost surely, 2^{311113321023132} 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 311113321023132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427218285940992).

311113321023132 is an abundant number, since it is smaller than the sum of its proper divisors (543323250858852).

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

311113321023132 is a wasteful number, since it uses less digits than its factorization.

311113321023132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10009 (or 10004 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 311113321023132 its reverse (231320123311113), we get a palindrome (542433444334245).

The spelling of 311113321023132 in words is "three hundred eleven trillion, one hundred thirteen billion, three hundred twenty-one million, twenty-three thousand, one hundred thirty-two".