213001132313 has 2 divisors, whose sum is σ = 213001132314. Its totient is φ = 213001132312.

The previous prime is 213001132199. The next prime is 213001132373. The reversal of 213001132313 is 313231100312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210861884809 + 2139247504 = 459197^2 + 46252^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-213001132313 is a prime.

It is not a weakly prime, because it can be changed into another prime (213001132373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106500566156 + 106500566157.

It is an arithmetic number, because the mean of its divisors is an integer number (106500566157).

Almost surely, 2^213001132313 is an apocalyptic number.

It is an amenable number.

213001132313 is a deficient number, since it is larger than the sum of its proper divisors (1).

213001132313 is an equidigital number, since it uses as much as digits as its factorization.

213001132313 is an odious number, because the sum of its binary digits is odd.

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

Adding to 213001132313 its reverse (313231100312), we get a palindrome (526232232625).

The spelling of 213001132313 in words is "two hundred thirteen billion, one million, one hundred thirty-two thousand, three hundred thirteen".