10033033110113 has 8 divisors (see below), whose sum is σ = 10804852937256. Its totient is φ = 9261220147200.

The previous prime is 10033033110013. The next prime is 10033033110143. The reversal of 10033033110113 is 31101133033001.

It can be written as a sum of positive squares in 4 ways, for example, as 575144774689 + 9457888335424 = 758383^2 + 3075368^2 .

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 10033033110113 - 2¹⁰ = 10033033109089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10033033110143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1549883 + ... + 4740063.

It is an arithmetic number, because the mean of its divisors is an integer number (1350606617157).

Almost surely, 2^{10033033110113} is an apocalyptic number.

10033033110113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10033033110113 is a deficient number, since it is larger than the sum of its proper divisors (771819827143).

10033033110113 is a wasteful number, since it uses less digits than its factorization.

10033033110113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3432115.

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 10033033110113 its reverse (31101133033001), we get a palindrome (41134166143114).

The spelling of 10033033110113 in words is "ten trillion, thirty-three billion, thirty-three million, one hundred ten thousand, one hundred thirteen".