210013122013 has 2 divisors, whose sum is σ = 210013122014. Its totient is φ = 210013122012.

The previous prime is 210013121917. The next prime is 210013122023. The reversal of 210013122013 is 310221310012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 170228032569 + 39785089444 = 412587^2 + 199462^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-210013122013 is a prime.

It is a super-3 number, since 3×210013122013³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (210013122023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105006561006 + 105006561007.

It is an arithmetic number, because the mean of its divisors is an integer number (105006561007).

Almost surely, 2^210013122013 is an apocalyptic number.

It is an amenable number.

210013122013 is a deficient number, since it is larger than the sum of its proper divisors (1).

210013122013 is an equidigital number, since it uses as much as digits as its factorization.

210013122013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 210013122013 its reverse (310221310012), we get a palindrome (520234432025).

The spelling of 210013122013 in words is "two hundred ten billion, thirteen million, one hundred twenty-two thousand, thirteen".