313011321012 has 144 divisors (see below), whose sum is σ = 881843639040. Its totient is φ = 92950550784.

The previous prime is 313011321011. The next prime is 313011321019. The reversal of 313011321012 is 210123110313.

313011321012 is a `hidden beast` number, since 31 + 301 + 1 + 321 + 0 + 12 = 666.

It is a super-3 number, since 3×313011321012³ (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 not an unprimeable number, because it can be changed into a prime (313011321011) 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 47 ways as a sum of consecutive naturals, for example, 53022853 + ... + 53028755.

It is an arithmetic number, because the mean of its divisors is an integer number (6123914160).

Almost surely, 2^313011321012 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 313011321012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440921819520).

313011321012 is an abundant number, since it is smaller than the sum of its proper divisors (568832318028).

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

313011321012 is a wasteful number, since it uses less digits than its factorization.

313011321012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9862 (or 9857 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 313011321012 its reverse (210123110313), we get a palindrome (523134431325).

The spelling of 313011321012 in words is "three hundred thirteen billion, eleven million, three hundred twenty-one thousand, twelve".