313120020312 has 96 divisors (see below), whose sum is σ = 928998720000. Its totient is φ = 94487789760.

The previous prime is 313120020293. The next prime is 313120020373. The reversal of 313120020312 is 213020021313.

313120020312 is a `hidden beast` number, since 3 + 131 + 200 + 20 + 312 = 666.

It is a super-3 number, since 3×313120020312³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 637812 + ... + 1016387.

It is an arithmetic number, because the mean of its divisors is an integer number (9677070000).

Almost surely, 2^313120020312 is an apocalyptic number.

It is an amenable number.

313120020312 is an abundant number, since it is smaller than the sum of its proper divisors (615878699688).

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

313120020312 is a wasteful number, since it uses less digits than its factorization.

313120020312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654461 (or 1654454 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 313120020312 its reverse (213020021313), we get a palindrome (526140041625).

The spelling of 313120020312 in words is "three hundred thirteen billion, one hundred twenty million, twenty thousand, three hundred twelve".