213021012022013 has 6 divisors (see below), whose sum is σ = 230667723077274. Its totient is φ = 196634780327856.

The previous prime is 213021012022003. The next prime is 213021012022019. The reversal of 213021012022013 is 310220210120312.

It can be written as a sum of positive squares in 3 ways, for example, as 26762443137049 + 186258568884964 = 5173243^2 + 13647658^2 .

It is not a de Polignac number, because 213021012022013 - 2²⁴ = 213020995244797 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213021012022019) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 630239680370 + ... + 630239680707.

It is an arithmetic number, because the mean of its divisors is an integer number (38444620512879).

Almost surely, 2^{213021012022013} is an apocalyptic number.

It is an amenable number.

213021012022013 is a deficient number, since it is larger than the sum of its proper divisors (17646711055261).

213021012022013 is a wasteful number, since it uses less digits than its factorization.

213021012022013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260479361103 (or 1260479361090 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 213021012022013 its reverse (310220210120312), we get a palindrome (523241222142325).

The spelling of 213021012022013 in words is "two hundred thirteen trillion, twenty-one billion, twelve million, twenty-two thousand, thirteen".