31320225216 has 336 divisors, whose sum is σ = 104759516160. Its totient is φ = 8761927680.

The previous prime is 31320225199. The next prime is 31320225217. The reversal of 31320225216 is 61252202313.

It is a happy number.

31320225216 is a `hidden beast` number, since 3 + 132 + 0 + 2 + 2 + 521 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 31320225216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31320225217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72668521 + ... + 72668951.

Almost surely, 2^31320225216 is an apocalyptic number.

31320225216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31320225216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52379758080).

31320225216 is an abundant number, since it is smaller than the sum of its proper divisors (73439290944).

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

31320225216 is a wasteful number, since it uses less digits than its factorization.

31320225216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 31320225216 its reverse (61252202313), we get a palindrome (92572427529).

The spelling of 31320225216 in words is "thirty-one billion, three hundred twenty million, two hundred twenty-five thousand, two hundred sixteen".