313320311222112 has 72 divisors (see below), whose sum is σ = 892309181183784. Its totient is φ = 104287189906944.

The previous prime is 313320311222089. The next prime is 313320311222147. The reversal of 313320311222112 is 211222113023313.

313320311222112 is a `hidden beast` number, since 3 + 1 + 3 + 320 + 3 + 1 + 1 + 222 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×313320311222112² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 796229173 + ... + 796622580.

It is an arithmetic number, because the mean of its divisors is an integer number (12393183071997).

Almost surely, 2^{313320311222112} is an apocalyptic number.

313320311222112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

313320311222112 is an abundant number, since it is smaller than the sum of its proper divisors (578988869961672).

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

313320311222112 is a wasteful number, since it uses less digits than its factorization.

313320311222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592852452 (or 1592852441 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 313320311222112 its reverse (211222113023313), we get a palindrome (524542424245425).

The spelling of 313320311222112 in words is "three hundred thirteen trillion, three hundred twenty billion, three hundred eleven million, two hundred twenty-two thousand, one hundred twelve".