213001323101113 has 2 divisors, whose sum is σ = 213001323101114. Its totient is φ = 213001323101112.

The previous prime is 213001323101029. The next prime is 213001323101267. The reversal of 213001323101113 is 311101323100312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 201894913714729 + 11106409386384 = 14208973^2 + 3332628^2 .

It is a cyclic number.

It is not a de Polignac number, because 213001323101113 - 2²⁹ = 213000786230201 is a prime.

It is not a weakly prime, because it can be changed into another prime (213001323104113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106500661550556 + 106500661550557.

It is an arithmetic number, because the mean of its divisors is an integer number (106500661550557).

Almost surely, 2^{213001323101113} is an apocalyptic number.

It is an amenable number.

213001323101113 is a deficient number, since it is larger than the sum of its proper divisors (1).

213001323101113 is an equidigital number, since it uses as much as digits as its factorization.

213001323101113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 213001323101113 its reverse (311101323100312), we get a palindrome (524102646201425).

The spelling of 213001323101113 in words is "two hundred thirteen trillion, one billion, three hundred twenty-three million, one hundred one thousand, one hundred thirteen".