2101321302013 has 2 divisors, whose sum is σ = 2101321302014. Its totient is φ = 2101321302012.

The previous prime is 2101321301899. The next prime is 2101321302071. The reversal of 2101321302013 is 3102031231012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1730242959769 + 371078342244 = 1315387^2 + 609162^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2101321302013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2101321302413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050660651006 + 1050660651007.

It is an arithmetic number, because the mean of its divisors is an integer number (1050660651007).

Almost surely, 2^{2101321302013} is an apocalyptic number.

It is an amenable number.

2101321302013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101321302013 is an equidigital number, since it uses as much as digits as its factorization.

2101321302013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 2101321302013 its reverse (3102031231012), we get a palindrome (5203352533025).

The spelling of 2101321302013 in words is "two trillion, one hundred one billion, three hundred twenty-one million, three hundred two thousand, thirteen".