313212011112 has 640 divisors, whose sum is σ = 1195637667840. Its totient is φ = 73964689920.

The previous prime is 313212011087. The next prime is 313212011131. The reversal of 313212011112 is 211110212313.

313212011112 is a `hidden beast` number, since 31 + 321 + 201 + 1 + 112 = 666.

It is a super-2 number, since 2×313212011112² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 43455813 + ... + 43463019.

It is an arithmetic number, because the mean of its divisors is an integer number (1868183856).

Almost surely, 2^313212011112 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 313212011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597818833920).

313212011112 is an abundant number, since it is smaller than the sum of its proper divisors (882425656728).

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

313212011112 is a wasteful number, since it uses less digits than its factorization.

313212011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7323 (or 7310 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 313212011112 its reverse (211110212313), we get a palindrome (524322223425).

It can be divided in two parts, 31321201 and 1112, that added together give a palindrome (31322313).

The spelling of 313212011112 in words is "three hundred thirteen billion, two hundred twelve million, eleven thousand, one hundred twelve".