2001210010013 has 2 divisors, whose sum is σ = 2001210010014. Its totient is φ = 2001210010012.

The previous prime is 2001210009983. The next prime is 2001210010057. The reversal of 2001210010013 is 3100100121002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1023409419769 + 977800590244 = 1011637^2 + 988838^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001210010013 - 2⁴⁰ = 901698382237 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2001210009976 and 2001210010003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2001210010913) 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, 1000605005006 + 1000605005007.

It is an arithmetic number, because the mean of its divisors is an integer number (1000605005007).

Almost surely, 2^{2001210010013} is an apocalyptic number.

It is an amenable number.

2001210010013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001210010013 is an equidigital number, since it uses as much as digits as its factorization.

2001210010013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 2001210010013 its reverse (3100100121002), we get a palindrome (5101310131015).

The spelling of 2001210010013 in words is "two trillion, one billion, two hundred ten million, ten thousand, thirteen".