10010011300033 has 8 divisors (see below), whose sum is σ = 10037302658856. Its totient is φ = 9982722374400.

The previous prime is 10010011300027. The next prime is 10010011300141. The reversal of 10010011300033 is 33000311001001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 931703701504 + 9078307598529 = 965248^2 + 3013023^2 .

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 10010011300033 - 2¹⁷ = 10010011168961 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10010011299986 and 10010011300022.

It is not an unprimeable number, because it can be changed into a prime (10010011301033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7788543 + ... + 8982283.

It is an arithmetic number, because the mean of its divisors is an integer number (1254662832357).

Almost surely, 2^{10010011300033} is an apocalyptic number.

It is an amenable number.

10010011300033 is a deficient number, since it is larger than the sum of its proper divisors (27291358823).

10010011300033 is a wasteful number, since it uses less digits than its factorization.

10010011300033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216595.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 10010011300033 its reverse (33000311001001), we get a palindrome (43010322301034).

The spelling of 10010011300033 in words is "ten trillion, ten billion, eleven million, three hundred thousand, thirty-three".