213013103321 has 16 divisors (see below), whose sum is σ = 217945477008. Its totient is φ = 208115481600.

The previous prime is 213013103309. The next prime is 213013103339. The reversal of 213013103321 is 123301310312.

It can be written as a sum of positive squares in 8 ways, for example, as 4497580096 + 208515523225 = 67064^2 + 456635^2 .

It is not a de Polignac number, because 213013103321 - 2¹⁸ = 213012841177 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213013103293 and 213013103302.

It is not an unprimeable number, because it can be changed into a prime (213013103351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33484181 + ... + 33490541.

It is an arithmetic number, because the mean of its divisors is an integer number (13621592313).

Almost surely, 2^213013103321 is an apocalyptic number.

It is an amenable number.

213013103321 is a deficient number, since it is larger than the sum of its proper divisors (4932373687).

213013103321 is a wasteful number, since it uses less digits than its factorization.

213013103321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8972.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 213013103321 its reverse (123301310312), we get a palindrome (336314413633).

The spelling of 213013103321 in words is "two hundred thirteen billion, thirteen million, one hundred three thousand, three hundred twenty-one".