10000330009993 has 2 divisors, whose sum is σ = 10000330009994. Its totient is φ = 10000330009992.

The previous prime is 10000330009987. The next prime is 10000330010093. The reversal of 10000330009993 is 39990003300001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9606608899209 + 393721110784 = 3099453^2 + 627472^2 .

It is an emirp because it is prime and its reverse (39990003300001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10000330009993 - 2²⁵ = 10000296455561 is a prime.

It is not a weakly prime, because it can be changed into another prime (10000330009493) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000165004996 + 5000165004997.

It is an arithmetic number, because the mean of its divisors is an integer number (5000165004997).

Almost surely, 2^{10000330009993} is an apocalyptic number.

It is an amenable number.

10000330009993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000330009993 is an equidigital number, since it uses as much as digits as its factorization.

10000330009993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 19683, while the sum is 37.

Adding to 10000330009993 its reverse (39990003300001), we get a palindrome (49990333309994).

The spelling of 10000330009993 in words is "ten trillion, three hundred thirty million, nine thousand, nine hundred ninety-three".