1001033133213 has 16 divisors (see below), whose sum is σ = 1358790192576. Its totient is φ = 655351213440.

The previous prime is 1001033133209. The next prime is 1001033133263. The reversal of 1001033133213 is 3123313301001.

1001033133213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1001033133213 - 2² = 1001033133209 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1001033133213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001033133263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4319931 + ... + 4545752.

It is an arithmetic number, because the mean of its divisors is an integer number (84924387036).

Almost surely, 2^{1001033133213} is an apocalyptic number.

It is an amenable number.

1001033133213 is a deficient number, since it is larger than the sum of its proper divisors (357757059363).

1001033133213 is an equidigital number, since it uses as much as digits as its factorization.

1001033133213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8866364.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 1001033133213 its reverse (3123313301001), we get a palindrome (4124346434214).

The spelling of 1001033133213 in words is "one trillion, one billion, thirty-three million, one hundred thirty-three thousand, two hundred thirteen".