1001012000133 has 48 divisors (see below), whose sum is σ = 1407946924800. Its totient is φ = 631856695680.

The previous prime is 1001012000113. The next prime is 1001012000141. The reversal of 1001012000133 is 3310002101001.

It is not a de Polignac number, because 1001012000133 - 2²⁰ = 1001010951557 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001012000113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130523223 + ... + 130530891.

It is an arithmetic number, because the mean of its divisors is an integer number (29332227600).

Almost surely, 2^{1001012000133} is an apocalyptic number.

It is an amenable number.

1001012000133 is a deficient number, since it is larger than the sum of its proper divisors (406934924667).

1001012000133 is an equidigital number, since it uses as much as digits as its factorization.

1001012000133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8250 (or 8191 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1001012000133 its reverse (3310002101001), we get a palindrome (4311014101134).

The spelling of 1001012000133 in words is "one trillion, one billion, twelve million, one hundred thirty-three", and thus it is an aban number.