313212100120 has 64 divisors (see below), whose sum is σ = 714762921600. Its totient is φ = 123509084160.

The previous prime is 313212100073. The next prime is 313212100121. The reversal of 313212100120 is 21001212313.

It is a junction number, because it is equal to n+sod(n) for n = 313212100094 and 313212100103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313212100121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1069185 + ... + 1330255.

It is an arithmetic number, because the mean of its divisors is an integer number (11168170650).

Almost surely, 2^313212100120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313212100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357381460800).

313212100120 is an abundant number, since it is smaller than the sum of its proper divisors (401550821480).

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

313212100120 is a wasteful number, since it uses less digits than its factorization.

313212100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261508 (or 261504 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 313212100120 its reverse (21001212313), we get a palindrome (334213312433).

The spelling of 313212100120 in words is "three hundred thirteen billion, two hundred twelve million, one hundred thousand, one hundred twenty".