31132032232320 has 192 divisors, whose sum is σ = 107635698471600. Its totient is φ = 8291612123136.

The previous prime is 31132032232307. The next prime is 31132032232321. The reversal of 31132032232320 is 2323223023113.

31132032232320 is a `hidden beast` number, since 3 + 1 + 1 + 3 + 203 + 223 + 232 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×31132032232320² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31132032232321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1319379 + ... + 8000301.

Almost surely, 2^{31132032232320} is an apocalyptic number.

31132032232320 is a gapful number since it is divisible by the number (30) 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 31132032232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53817849235800).

31132032232320 is an abundant number, since it is smaller than the sum of its proper divisors (76503666239280).

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

31132032232320 is a wasteful number, since it uses less digits than its factorization.

31132032232320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6681757 (or 6681742 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 31132032232320 its reverse (2323223023113), we get a palindrome (33455255255433).

The spelling of 31132032232320 in words is "thirty-one trillion, one hundred thirty-two billion, thirty-two million, two hundred thirty-two thousand, three hundred twenty".