13000350021137 has 2 divisors, whose sum is σ = 13000350021138. Its totient is φ = 13000350021136.

The previous prime is 13000350021107. The next prime is 13000350021179. The reversal of 13000350021137 is 73112005300031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10617405166096 + 2382944855041 = 3258436^2 + 1543679^2 .

It is a cyclic number.

It is not a de Polignac number, because 13000350021137 - 2⁶ = 13000350021073 is a prime.

It is not a weakly prime, because it can be changed into another prime (13000350021107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6500175010568 + 6500175010569.

It is an arithmetic number, because the mean of its divisors is an integer number (6500175010569).

Almost surely, 2^{13000350021137} is an apocalyptic number.

It is an amenable number.

13000350021137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13000350021137 is an equidigital number, since it uses as much as digits as its factorization.

13000350021137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1890, while the sum is 26.

Adding to 13000350021137 its reverse (73112005300031), we get a palindrome (86112355321168).

The spelling of 13000350021137 in words is "thirteen trillion, three hundred fifty million, twenty-one thousand, one hundred thirty-seven".