100033333333013 has 2 divisors, whose sum is σ = 100033333333014. Its totient is φ = 100033333333012.

The previous prime is 100033333333009. The next prime is 100033333333097. The reversal of 100033333333013 is 310333333330001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92695264554244 + 7338068778769 = 9627838^2 + 2708887^2 .

It is an emirp because it is prime and its reverse (310333333330001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100033333333013 - 2² = 100033333333009 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100033333363013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50016666666506 + 50016666666507.

It is an arithmetic number, because the mean of its divisors is an integer number (50016666666507).

Almost surely, 2^{100033333333013} is an apocalyptic number.

It is an amenable number.

100033333333013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100033333333013 is an equidigital number, since it uses as much as digits as its factorization.

100033333333013 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 29.

Adding to 100033333333013 its reverse (310333333330001), we get a palindrome (410366666663014).

The spelling of 100033333333013 in words is "one hundred trillion, thirty-three billion, three hundred thirty-three million, three hundred thirty-three thousand, thirteen".