313311334330112 has 72 divisors (see below), whose sum is σ = 629906863950000. Its totient is φ = 155527482662912.

The previous prime is 313311334330091. The next prime is 313311334330147. The reversal of 313311334330112 is 211033433113313.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75291764 + ... + 79344012.

It is an arithmetic number, because the mean of its divisors is an integer number (8748706443750).

Almost surely, 2^{313311334330112} is an apocalyptic number.

313311334330112 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 313311334330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314953431975000).

313311334330112 is an abundant number, since it is smaller than the sum of its proper divisors (316595529619888).

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

313311334330112 is a wasteful number, since it uses less digits than its factorization.

313311334330112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4054441 (or 4054427 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 32.

Adding to 313311334330112 its reverse (211033433113313), we get a palindrome (524344767443425).

The spelling of 313311334330112 in words is "three hundred thirteen trillion, three hundred eleven billion, three hundred thirty-four million, three hundred thirty thousand, one hundred twelve".