13213003131301 has 2 divisors, whose sum is σ = 13213003131302. Its totient is φ = 13213003131300.

The previous prime is 13213003131277. The next prime is 13213003131421. The reversal of 13213003131301 is 10313130031231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11270798554401 + 1942204576900 = 3357201^2 + 1393630^2 .

It is a cyclic number.

It is not a de Polignac number, because 13213003131301 - 2¹³ = 13213003123109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13213003131101) 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, 6606501565650 + 6606501565651.

It is an arithmetic number, because the mean of its divisors is an integer number (6606501565651).

Almost surely, 2^{13213003131301} is an apocalyptic number.

It is an amenable number.

13213003131301 is a deficient number, since it is larger than the sum of its proper divisors (1).

13213003131301 is an equidigital number, since it uses as much as digits as its factorization.

13213003131301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 13213003131301 its reverse (10313130031231), we get a palindrome (23526133162532).

The spelling of 13213003131301 in words is "thirteen trillion, two hundred thirteen billion, three million, one hundred thirty-one thousand, three hundred one".