31012330032 has 100 divisors (see below), whose sum is σ = 90404951560. Its totient is φ = 10263013632.

The previous prime is 31012330021. The next prime is 31012330061. The reversal of 31012330032 is 23003321013.

31012330032 is a `hidden beast` number, since 310 + 1 + 23 + 300 + 32 = 666.

It is a super-3 number, since 3×31012330032³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 31012329987 and 31012330014.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 94068 + ... + 266220.

Almost surely, 2^31012330032 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 31012330032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45202475780).

31012330032 is an abundant number, since it is smaller than the sum of its proper divisors (59392621528).

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

31012330032 is a wasteful number, since it uses less digits than its factorization.

31012330032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172312 (or 172297 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 31012330032 its reverse (23003321013), we get a palindrome (54015651045).

The spelling of 31012330032 in words is "thirty-one billion, twelve million, three hundred thirty thousand, thirty-two".