1001332312002 has 128 divisors (see below), whose sum is σ = 2573908358400. Its totient is φ = 285180134400.

The previous prime is 1001332311949. The next prime is 1001332312021. The reversal of 1001332312002 is 2002132331001.

1001332312002 is a `hidden beast` number, since 100 + 1 + 332 + 31 + 200 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 7089552 + ... + 7229412.

It is an arithmetic number, because the mean of its divisors is an integer number (20108659050).

Almost surely, 2^{1001332312002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001332312002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286954179200).

1001332312002 is an abundant number, since it is smaller than the sum of its proper divisors (1572576046398).

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

1001332312002 is a wasteful number, since it uses less digits than its factorization.

1001332312002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140609 (or 140603 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1001332312002 its reverse (2002132331001), we get a palindrome (3003464643003).

The spelling of 1001332312002 in words is "one trillion, one billion, three hundred thirty-two million, three hundred twelve thousand, two".