313122303221312 has 112 divisors (see below), whose sum is σ = 690802705711104. Its totient is φ = 139842167040000.

The previous prime is 313122303221291. The next prime is 313122303221333. The reversal of 313122303221312 is 213122303221313.

It is an interprime number because it is at equal distance from previous prime (313122303221291) and next prime (313122303221333).

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, 260182562 + ... + 261383262.

It is an arithmetic number, because the mean of its divisors is an integer number (6167881300992).

Almost surely, 2^{313122303221312} is an apocalyptic number.

313122303221312 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 313122303221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345401352855552).

313122303221312 is an abundant number, since it is smaller than the sum of its proper divisors (377680402489792).

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

313122303221312 is a wasteful number, since it uses less digits than its factorization.

313122303221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210868 (or 1210858 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 313122303221312 its reverse (213122303221313), we get a palindrome (526244606442625).

Subtracting from 313122303221312 its reverse (213122303221313), we obtain a palindrome (99999999999999).

The spelling of 313122303221312 in words is "three hundred thirteen trillion, one hundred twenty-two billion, three hundred three million, two hundred twenty-one thousand, three hundred twelve".