13101200301337 has 2 divisors, whose sum is σ = 13101200301338. Its totient is φ = 13101200301336.

The previous prime is 13101200301257. The next prime is 13101200301341. The reversal of 13101200301337 is 73310300210131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11363243225481 + 1737957075856 = 3370941^2 + 1318316^2 .

It is a cyclic number.

It is not a de Polignac number, because 13101200301337 - 2¹¹ = 13101200299289 is a prime.

It is not a weakly prime, because it can be changed into another prime (13101200305337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6550600150668 + 6550600150669.

It is an arithmetic number, because the mean of its divisors is an integer number (6550600150669).

Almost surely, 2^{13101200301337} is an apocalyptic number.

It is an amenable number.

13101200301337 is a deficient number, since it is larger than the sum of its proper divisors (1).

13101200301337 is an equidigital number, since it uses as much as digits as its factorization.

13101200301337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 25.

Adding to 13101200301337 its reverse (73310300210131), we get a palindrome (86411500511468).

The spelling of 13101200301337 in words is "thirteen trillion, one hundred one billion, two hundred million, three hundred one thousand, three hundred thirty-seven".