13130333320213 has 2 divisors, whose sum is σ = 13130333320214. Its totient is φ = 13130333320212.

The previous prime is 13130333320207. The next prime is 13130333320219. The reversal of 13130333320213 is 31202333303131.

13130333320213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (13130333320207) and next prime (13130333320219).

It can be written as a sum of positive squares in only one way, i.e., 9991175017924 + 3139158302289 = 3160882^2 + 1771767^2 .

It is a cyclic number.

It is not a de Polignac number, because 13130333320213 - 2¹³ = 13130333312021 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13130333320219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6565166660106 + 6565166660107.

It is an arithmetic number, because the mean of its divisors is an integer number (6565166660107).

Almost surely, 2^{13130333320213} is an apocalyptic number.

It is an amenable number.

13130333320213 is a deficient number, since it is larger than the sum of its proper divisors (1).

13130333320213 is an equidigital number, since it uses as much as digits as its factorization.

13130333320213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8748, while the sum is 28.

Adding to 13130333320213 its reverse (31202333303131), we get a palindrome (44332666623344).

The spelling of 13130333320213 in words is "thirteen trillion, one hundred thirty billion, three hundred thirty-three million, three hundred twenty thousand, two hundred thirteen".