213013010013 has 4 divisors (see below), whose sum is σ = 284017346688. Its totient is φ = 142008673340.

The previous prime is 213013009973. The next prime is 213013010027. The reversal of 213013010013 is 310010310312.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 213013010013 - 2⁸ = 213013009757 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213013009974 and 213013010001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213013010053) 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 in 3 ways as a sum of consecutive naturals, for example, 35502168333 + ... + 35502168338.

It is an arithmetic number, because the mean of its divisors is an integer number (71004336672).

Almost surely, 2^213013010013 is an apocalyptic number.

It is an amenable number.

213013010013 is a deficient number, since it is larger than the sum of its proper divisors (71004336675).

213013010013 is an equidigital number, since it uses as much as digits as its factorization.

213013010013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71004336674.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 213013010013 its reverse (310010310312), we get a palindrome (523023320325).

The spelling of 213013010013 in words is "two hundred thirteen billion, thirteen million, ten thousand, thirteen".