31500165312 has 672 divisors, whose sum is σ = 117160243200. Its totient is φ = 7855626240.

The previous prime is 31500165311. The next prime is 31500165331. The reversal of 31500165312 is 21356100513.

31500165312 is a `hidden beast` number, since 3 + 1 + 5 + 0 + 0 + 1 + 653 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (31500165311) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 158292189 + ... + 158292387.

It is an arithmetic number, because the mean of its divisors is an integer number (174345600).

Almost surely, 2^31500165312 is an apocalyptic number.

31500165312 is a gapful number since it is divisible by the number (32) 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 31500165312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58580121600).

31500165312 is an abundant number, since it is smaller than the sum of its proper divisors (85660077888).

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

31500165312 is a wasteful number, since it uses less digits than its factorization.

31500165312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 31500165312 its reverse (21356100513), we get a palindrome (52856265825).

The spelling of 31500165312 in words is "thirty-one billion, five hundred million, one hundred sixty-five thousand, three hundred twelve".