100033002010013 has 8 divisors (see below), whose sum is σ = 100042624596096. Its totient is φ = 100023379846000.

The previous prime is 100033002010009. The next prime is 100033002010043. The reversal of 100033002010013 is 310010200330001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100033002010013 - 2² = 100033002010009 is a prime.

It is a super-2 number, since 2×100033002010013² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100033002010013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100033002010043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 657633395 + ... + 657785487.

It is an arithmetic number, because the mean of its divisors is an integer number (12505328074512).

Almost surely, 2^{100033002010013} is an apocalyptic number.

It is an amenable number.

100033002010013 is a deficient number, since it is larger than the sum of its proper divisors (9622586083).

100033002010013 is a wasteful number, since it uses less digits than its factorization.

100033002010013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211035.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 100033002010013 its reverse (310010200330001), we get a palindrome (410043202340014).

The spelling of 100033002010013 in words is "one hundred trillion, thirty-three billion, two million, ten thousand, thirteen".