2101133313329 has 2 divisors, whose sum is σ = 2101133313330. Its totient is φ = 2101133313328.

The previous prime is 2101133313299. The next prime is 2101133313373. The reversal of 2101133313329 is 9233133311012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1936258335025 + 164874978304 = 1391495^2 + 406048^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2101133313329 is a prime.

It is a super-2 number, since 2×2101133313329² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2101133313295 and 2101133313304.

It is not a weakly prime, because it can be changed into another prime (2101133310329) 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, 1050566656664 + 1050566656665.

It is an arithmetic number, because the mean of its divisors is an integer number (1050566656665).

Almost surely, 2^{2101133313329} is an apocalyptic number.

It is an amenable number.

2101133313329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101133313329 is an equidigital number, since it uses as much as digits as its factorization.

2101133313329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 32.

The spelling of 2101133313329 in words is "two trillion, one hundred one billion, one hundred thirty-three million, three hundred thirteen thousand, three hundred twenty-nine".