2101133313299 has 2 divisors, whose sum is σ = 2101133313300. Its totient is φ = 2101133313298.

The previous prime is 2101133313239. The next prime is 2101133313329. The reversal of 2101133313299 is 9923133311012.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2101133313299 - 2²⁰ = 2101132264723 is a prime.

It is a super-2 number, since 2×2101133313299² (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (2101133313239) 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 as a sum of consecutive naturals, namely, 1050566656649 + 1050566656650.

It is an arithmetic number, because the mean of its divisors is an integer number (1050566656650).

Almost surely, 2^{2101133313299} is an apocalyptic number.

2101133313299 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101133313299 is an equidigital number, since it uses as much as digits as its factorization.

2101133313299 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26244, while the sum is 38.

The spelling of 2101133313299 in words is "two trillion, one hundred one billion, one hundred thirty-three million, three hundred thirteen thousand, two hundred ninety-nine".