31132031132320 has 384 divisors, whose sum is σ = 79705605837312. Its totient is φ = 11448837734400.

The previous prime is 31132031132317. The next prime is 31132031132351. The reversal of 31132031132320 is 2323113023113.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8995095390 + ... + 8995098850.

It is an arithmetic number, because the mean of its divisors is an integer number (207566681868).

Almost surely, 2^{31132031132320} 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 31132031132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39852802918656).

31132031132320 is an abundant number, since it is smaller than the sum of its proper divisors (48573574704992).

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

31132031132320 is a wasteful number, since it uses less digits than its factorization.

31132031132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4024 (or 4016 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 31132031132320 its reverse (2323113023113), we get a palindrome (33455144155433).

The spelling of 31132031132320 in words is "thirty-one trillion, one hundred thirty-two billion, thirty-one million, one hundred thirty-two thousand, three hundred twenty".