10211010013 has 2 divisors, whose sum is σ = 10211010014. Its totient is φ = 10211010012.

The previous prime is 10211009993. The next prime is 10211010023. The reversal of 10211010013 is 31001011201.

It is an a-pointer prime, because the next prime (10211010023) can be obtained adding 10211010013 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6391522809 + 3819487204 = 79947^2 + 61802^2 .

It is a cyclic number.

It is not a de Polignac number, because 10211010013 - 2⁵ = 10211009981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10211010023) 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, 5105505006 + 5105505007.

It is an arithmetic number, because the mean of its divisors is an integer number (5105505007).

Almost surely, 2^10211010013 is an apocalyptic number.

It is an amenable number.

10211010013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211010013 is an equidigital number, since it uses as much as digits as its factorization.

10211010013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10211010013 its reverse (31001011201), we get a palindrome (41212021214).

The spelling of 10211010013 in words is "ten billion, two hundred eleven million, ten thousand, thirteen".