10201980413 has 2 divisors, whose sum is σ = 10201980414. Its totient is φ = 10201980412.

The previous prime is 10201980391. The next prime is 10201980463. The reversal of 10201980413 is 31408910201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8193327289 + 2008653124 = 90517^2 + 44818^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201980413 - 2¹⁴ = 10201964029 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10201980463) 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, 5100990206 + 5100990207.

It is an arithmetic number, because the mean of its divisors is an integer number (5100990207).

Almost surely, 2^10201980413 is an apocalyptic number.

It is an amenable number.

10201980413 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201980413 is an equidigital number, since it uses as much as digits as its factorization.

10201980413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 29.

The spelling of 10201980413 in words is "ten billion, two hundred one million, nine hundred eighty thousand, four hundred thirteen".