31102223313312 has 72 divisors (see below), whose sum is σ = 88448704642116. Its totient is φ = 10367201811456.

The previous prime is 31102223313289. The next prime is 31102223313379. The reversal of 31102223313312 is 21331332220113.

31102223313312 is a `hidden beast` number, since 3 + 1 + 10 + 2 + 2 + 2 + 331 + 3 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29831652490896 + 1270570822416 = 5461836^2 + 1127196^2 .

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

It is a super-2 number, since 2×31102223313312² (a number of 28 digits) contains 22 as substring.

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, 13807258 + ... + 15901094.

Almost surely, 2^{31102223313312} is an apocalyptic number.

31102223313312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31102223313312 is an abundant number, since it is smaller than the sum of its proper divisors (57346481328804).

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

31102223313312 is a wasteful number, since it uses less digits than its factorization.

31102223313312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145430 (or 2145419 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 31102223313312 its reverse (21331332220113), we get a palindrome (52433555533425).

The spelling of 31102223313312 in words is "thirty-one trillion, one hundred two billion, two hundred twenty-three million, three hundred thirteen thousand, three hundred twelve".