213131211324313 has 2 divisors, whose sum is σ = 213131211324314. Its totient is φ = 213131211324312.

The previous prime is 213131211324281. The next prime is 213131211324319. The reversal of 213131211324313 is 313423112131312.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 213128231583744 + 2979740569 = 14598912^2 + 54587^2 .

It is a cyclic number.

It is not a de Polignac number, because 213131211324313 - 2⁵ = 213131211324281 is a prime.

It is not a weakly prime, because it can be changed into another prime (213131211324319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106565605662156 + 106565605662157.

It is an arithmetic number, because the mean of its divisors is an integer number (106565605662157).

Almost surely, 2^{213131211324313} is an apocalyptic number.

It is an amenable number.

213131211324313 is a deficient number, since it is larger than the sum of its proper divisors (1).

213131211324313 is an equidigital number, since it uses as much as digits as its factorization.

213131211324313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7776, while the sum is 31.

Adding to 213131211324313 its reverse (313423112131312), we get a palindrome (526554323455625).

The spelling of 213131211324313 in words is "two hundred thirteen trillion, one hundred thirty-one billion, two hundred eleven million, three hundred twenty-four thousand, three hundred thirteen".