213131010613 has 2 divisors, whose sum is σ = 213131010614. Its totient is φ = 213131010612.

The previous prime is 213131010593. The next prime is 213131010667. The reversal of 213131010613 is 316010131312.

213131010613 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., 148076427249 + 65054583364 = 384807^2 + 255058^2 .

It is a cyclic number.

It is not a de Polignac number, because 213131010613 - 2⁵ = 213131010581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213131010013) 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, 106565505306 + 106565505307.

It is an arithmetic number, because the mean of its divisors is an integer number (106565505307).

Almost surely, 2^213131010613 is an apocalyptic number.

It is an amenable number.

213131010613 is a deficient number, since it is larger than the sum of its proper divisors (1).

213131010613 is an equidigital number, since it uses as much as digits as its factorization.

213131010613 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 22.

Adding to 213131010613 its reverse (316010131312), we get a palindrome (529141141925).

The spelling of 213131010613 in words is "two hundred thirteen billion, one hundred thirty-one million, ten thousand, six hundred thirteen".