1031132324992 has 768 divisors, whose sum is σ = 2840655283200. Its totient is φ = 363603271680.

The previous prime is 1031132324951. The next prime is 1031132325017. The reversal of 1031132324992 is 2994232311301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6325965103 + ... + 6325965265.

It is an arithmetic number, because the mean of its divisors is an integer number (3698769900).

Almost surely, 2^{1031132324992} 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 1031132324992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420327641600).

1031132324992 is an abundant number, since it is smaller than the sum of its proper divisors (1809522958208).

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

1031132324992 is a wasteful number, since it uses less digits than its factorization.

1031132324992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 40.

The spelling of 1031132324992 in words is "one trillion, thirty-one billion, one hundred thirty-two million, three hundred twenty-four thousand, nine hundred ninety-two".