2101006513 has 2 divisors, whose sum is σ = 2101006514. Its totient is φ = 2101006512.

The previous prime is 2101006447. The next prime is 2101006519. The reversal of 2101006513 is 3156001012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1310946849 + 790059664 = 36207^2 + 28108^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2101006513 is a prime.

It is not a weakly prime, because it can be changed into another prime (2101006519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050503256 + 1050503257.

It is an arithmetic number, because the mean of its divisors is an integer number (1050503257).

Almost surely, 2^2101006513 is an apocalyptic number.

It is an amenable number.

2101006513 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101006513 is an equidigital number, since it uses as much as digits as its factorization.

2101006513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 2101006513 is about 45836.7375911506. The cubic root of 2101006513 is about 1280.7837227191.

Adding to 2101006513 its reverse (3156001012), we get a palindrome (5257007525).

The spelling of 2101006513 in words is "two billion, one hundred one million, six thousand, five hundred thirteen".