313332233014112 has 96 divisors (see below), whose sum is σ = 686460678349824. Its totient is φ = 139805745523200.

The previous prime is 313332233014061. The next prime is 313332233014139. The reversal of 313332233014112 is 211410332233313.

It is a happy number.

It is a super-2 number, since 2×313332233014112² (a number of 30 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 10763 + ... + 25033269.

It is an arithmetic number, because the mean of its divisors is an integer number (7150632066144).

Almost surely, 2^{313332233014112} is an apocalyptic number.

313332233014112 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 313332233014112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343230339174912).

313332233014112 is an abundant number, since it is smaller than the sum of its proper divisors (373128445335712).

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

313332233014112 is a wasteful number, since it uses less digits than its factorization.

313332233014112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25023532 (or 25023524 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 32.

Adding to 313332233014112 its reverse (211410332233313), we get a palindrome (524742565247425).

The spelling of 313332233014112 in words is "three hundred thirteen trillion, three hundred thirty-two billion, two hundred thirty-three million, fourteen thousand, one hundred twelve".