313313321112 has 128 divisors (see below), whose sum is σ = 863358912000. Its totient is φ = 93959331840.

The previous prime is 313313321099. The next prime is 313313321129. The reversal of 313313321112 is 211123313313.

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 a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 56257464 + ... + 56263032.

It is an arithmetic number, because the mean of its divisors is an integer number (6744991500).

Almost surely, 2^313313321112 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 313313321112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431679456000).

313313321112 is an abundant number, since it is smaller than the sum of its proper divisors (550045590888).

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

313313321112 is a wasteful number, since it uses less digits than its factorization.

313313321112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7761 (or 7757 counting only the distinct ones).

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

Adding to 313313321112 its reverse (211123313313), we get a palindrome (524436634425).

The spelling of 313313321112 in words is "three hundred thirteen billion, three hundred thirteen million, three hundred twenty-one thousand, one hundred twelve".