213121212020113 has 2 divisors, whose sum is σ = 213121212020114. Its totient is φ = 213121212020112.

The previous prime is 213121212020089. The next prime is 213121212020149. The reversal of 213121212020113 is 311020212121312.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 167567122131984 + 45554089888129 = 12944772^2 + 6749377^2 .

It is a cyclic number.

It is not a de Polignac number, because 213121212020113 - 2⁹ = 213121212019601 is a prime.

It is not a weakly prime, because it can be changed into another prime (213121212000113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106560606010056 + 106560606010057.

It is an arithmetic number, because the mean of its divisors is an integer number (106560606010057).

Almost surely, 2^{213121212020113} is an apocalyptic number.

It is an amenable number.

213121212020113 is a deficient number, since it is larger than the sum of its proper divisors (1).

213121212020113 is an equidigital number, since it uses as much as digits as its factorization.

213121212020113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 213121212020113 its reverse (311020212121312), we get a palindrome (524141424141425).

The spelling of 213121212020113 in words is "two hundred thirteen trillion, one hundred twenty-one billion, two hundred twelve million, twenty thousand, one hundred thirteen".