313124344413312 has 512 divisors, whose sum is σ = 924828028185600. Its totient is φ = 93437281566720.

The previous prime is 313124344413211. The next prime is 313124344413373. The reversal of 313124344413312 is 213314443421313.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6295323739 + ... + 6295373477.

It is an arithmetic number, because the mean of its divisors is an integer number (1806304742550).

Almost surely, 2^{313124344413312} is an apocalyptic number.

313124344413312 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 313124344413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462414014092800).

313124344413312 is an abundant number, since it is smaller than the sum of its proper divisors (611703683772288).

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

313124344413312 is a wasteful number, since it uses less digits than its factorization.

313124344413312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50404 (or 50392 counting only the distinct ones).

The product of its digits is 248832, while the sum is 39.

Adding to 313124344413312 its reverse (213314443421313), we get a palindrome (526438787834625).

The spelling of 313124344413312 in words is "three hundred thirteen trillion, one hundred twenty-four billion, three hundred forty-four million, four hundred thirteen thousand, three hundred twelve".