2101331333333 has 2 divisors, whose sum is σ = 2101331333334. Its totient is φ = 2101331333332.

The previous prime is 2101331333303. The next prime is 2101331333357. The reversal of 2101331333333 is 3333331331012.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1772471520964 + 328859812369 = 1331342^2 + 573463^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101331333333 - 2¹⁴ = 2101331316949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2101331333296 and 2101331333305.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2101331333303) 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, 1050665666666 + 1050665666667.

It is an arithmetic number, because the mean of its divisors is an integer number (1050665666667).

Almost surely, 2^{2101331333333} is an apocalyptic number.

It is an amenable number.

2101331333333 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101331333333 is an equidigital number, since it uses as much as digits as its factorization.

2101331333333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13122, while the sum is 29.

Adding to 2101331333333 its reverse (3333331331012), we get a palindrome (5434662664345).

The spelling of 2101331333333 in words is "two trillion, one hundred one billion, three hundred thirty-one million, three hundred thirty-three thousand, three hundred thirty-three".