313302321312 has 96 divisors (see below), whose sum is σ = 845975902464. Its totient is φ = 101463859200.

The previous prime is 313302321257. The next prime is 313302321331. The reversal of 313302321312 is 213123203313.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 783433 + ... + 1113719.

It is an arithmetic number, because the mean of its divisors is an integer number (8812248984).

Almost surely, 2^313302321312 is an apocalyptic number.

313302321312 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 313302321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422987951232).

313302321312 is an abundant number, since it is smaller than the sum of its proper divisors (532673581152).

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

313302321312 is a wasteful number, since it uses less digits than its factorization.

313302321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330582 (or 330574 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 313302321312 its reverse (213123203313), we get a palindrome (526425524625).

The spelling of 313302321312 in words is "three hundred thirteen billion, three hundred two million, three hundred twenty-one thousand, three hundred twelve".