1002133321011 has 96 divisors (see below), whose sum is σ = 1622467566720. Its totient is φ = 592801431552.

The previous prime is 1002133320911. The next prime is 1002133321037. The reversal of 1002133321011 is 1101233312001.

1002133321011 is a `hidden beast` number, since 100 + 21 + 333 + 210 + 1 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-1002133321011 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1002133301011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74022435 + ... + 74035971.

It is an arithmetic number, because the mean of its divisors is an integer number (16900703820).

Almost surely, 2^{1002133321011} is an apocalyptic number.

1002133321011 is a deficient number, since it is larger than the sum of its proper divisors (620334245709).

1002133321011 is a wasteful number, since it uses less digits than its factorization.

1002133321011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13885 (or 13882 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1002133321011 its reverse (1101233312001), we get a palindrome (2103366633012).

The spelling of 1002133321011 in words is "one trillion, two billion, one hundred thirty-three million, three hundred twenty-one thousand, eleven".