1001082000991 has 8 divisors (see below), whose sum is σ = 1001554560000. Its totient is φ = 1000609561560.

The previous prime is 1001082000953. The next prime is 1001082001069. The reversal of 1001082000991 is 1990002801001.

1001082000991 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1001082000991 - 2¹⁵ = 1001081968223 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001082000091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19645656 + ... + 19696546.

It is an arithmetic number, because the mean of its divisors is an integer number (125194320000).

Almost surely, 2^{1001082000991} is an apocalyptic number.

1001082000991 is a deficient number, since it is larger than the sum of its proper divisors (472559009).

1001082000991 is an equidigital number, since it uses as much as digits as its factorization.

1001082000991 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59789.

The product of its (nonzero) digits is 1296, while the sum is 31.

Adding to 1001082000991 its reverse (1990002801001), we get a palindrome (2991084801992).

The spelling of 1001082000991 in words is "one trillion, one billion, eighty-two million, nine hundred ninety-one", and thus it is an aban number.