213113023313 has 2 divisors, whose sum is σ = 213113023314. Its totient is φ = 213113023312.

The previous prime is 213113023223. The next prime is 213113023469. The reversal of 213113023313 is 313320311312.

213113023313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 147892546624 + 65220476689 = 384568^2 + 255383^2 .

It is a cyclic number.

It is not a de Polignac number, because 213113023313 - 2¹⁰ = 213113022289 is a prime.

It is a super-3 number, since 3×213113023313³ (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (213113023813) 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, 106556511656 + 106556511657.

It is an arithmetic number, because the mean of its divisors is an integer number (106556511657).

Almost surely, 2^213113023313 is an apocalyptic number.

It is an amenable number.

213113023313 is a deficient number, since it is larger than the sum of its proper divisors (1).

213113023313 is an equidigital number, since it uses as much as digits as its factorization.

213113023313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 213113023313 its reverse (313320311312), we get a palindrome (526433334625).

The spelling of 213113023313 in words is "two hundred thirteen billion, one hundred thirteen million, twenty-three thousand, three hundred thirteen".