1001133300213 has 20 divisors (see below), whose sum is σ = 1574231702560. Its totient is φ = 632294714952.

The previous prime is 1001133300191. The next prime is 1001133300229. The reversal of 1001133300213 is 3120033311001.

It is a happy number.

1001133300213 is a `hidden beast` number, since 10 + 0 + 113 + 330 + 0 + 213 = 666.

It is not a de Polignac number, because 1001133300213 - 2¹⁰ = 1001133299189 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001133300283) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 325252945 + ... + 325256022.

It is an arithmetic number, because the mean of its divisors is an integer number (78711585128).

Almost surely, 2^{1001133300213} is an apocalyptic number.

It is an amenable number.

1001133300213 is a deficient number, since it is larger than the sum of its proper divisors (573098402347).

1001133300213 is an equidigital number, since it uses as much as digits as its factorization.

1001133300213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650508998 (or 650508989 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1001133300213 its reverse (3120033311001), we get a palindrome (4121166611214).

The spelling of 1001133300213 in words is "one trillion, one billion, one hundred thirty-three million, three hundred thousand, two hundred thirteen".