31232032032 has 96 divisors (see below), whose sum is σ = 82957960512. Its totient is φ = 10287570944.

The previous prime is 31232032031. The next prime is 31232032093. The reversal of 31232032032 is 23023023213.

It is a tau number, because it is divible by the number of its divisors (96).

31232032032 is a modest number, since divided by 32032 gives 31232 as remainder.

It is not an unprimeable number, because it can be changed into a prime (31232032031) 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 15 ways as a sum of consecutive naturals, for example, 3760108 + ... + 3768404.

It is an arithmetic number, because the mean of its divisors is an integer number (864145422).

Almost surely, 2^31232032032 is an apocalyptic number.

31232032032 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 31232032032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41478980256).

31232032032 is an abundant number, since it is smaller than the sum of its proper divisors (51725928480).

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

31232032032 is a wasteful number, since it uses less digits than its factorization.

31232032032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8770 (or 8762 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 31232032032 its reverse (23023023213), we get a palindrome (54255055245).

The spelling of 31232032032 in words is "thirty-one billion, two hundred thirty-two million, thirty-two thousand, thirty-two".