13213001200337 has 2 divisors, whose sum is σ = 13213001200338. Its totient is φ = 13213001200336.

The previous prime is 13213001200303. The next prime is 13213001200349. The reversal of 13213001200337 is 73300210031231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10277127993616 + 2935873206721 = 3205796^2 + 1713439^2 .

It is a cyclic number.

It is not a de Polignac number, because 13213001200337 - 2³⁴ = 13195821331153 is a prime.

It is not a weakly prime, because it can be changed into another prime (13213001200367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6606500600168 + 6606500600169.

It is an arithmetic number, because the mean of its divisors is an integer number (6606500600169).

Almost surely, 2^{13213001200337} is an apocalyptic number.

It is an amenable number.

13213001200337 is a deficient number, since it is larger than the sum of its proper divisors (1).

13213001200337 is an equidigital number, since it uses as much as digits as its factorization.

13213001200337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2268, while the sum is 26.

Adding to 13213001200337 its reverse (73300210031231), we get a palindrome (86513211231568).

The spelling of 13213001200337 in words is "thirteen trillion, two hundred thirteen billion, one million, two hundred thousand, three hundred thirty-seven".