1010032002133 has 16 divisors (see below), whose sum is σ = 1260458933760. Its totient is φ = 786289014000.

The previous prime is 1010032002127. The next prime is 1010032002151. The reversal of 1010032002133 is 3312002300101.

It is not a de Polignac number, because 1010032002133 - 2²⁹ = 1009495131221 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 (1010032002113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6159463 + ... + 6321316.

It is an arithmetic number, because the mean of its divisors is an integer number (78778683360).

Almost surely, 2^{1010032002133} is an apocalyptic number.

It is an amenable number.

1010032002133 is a deficient number, since it is larger than the sum of its proper divisors (250426931627).

1010032002133 is a wasteful number, since it uses less digits than its factorization.

1010032002133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12481848.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1010032002133 its reverse (3312002300101), we get a palindrome (4322034302234).

The spelling of 1010032002133 in words is "one trillion, ten billion, thirty-two million, two thousand, one hundred thirty-three".