13033101032137 has 2 divisors, whose sum is σ = 13033101032138. Its totient is φ = 13033101032136.

The previous prime is 13033101032123. The next prime is 13033101032209. The reversal of 13033101032137 is 73123010133031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12092387262921 + 940713769216 = 3477411^2 + 969904^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13033101032137 is a prime.

It is not a weakly prime, because it can be changed into another prime (13033101072137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6516550516068 + 6516550516069.

It is an arithmetic number, because the mean of its divisors is an integer number (6516550516069).

Almost surely, 2^{13033101032137} is an apocalyptic number.

It is an amenable number.

13033101032137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13033101032137 is an equidigital number, since it uses as much as digits as its factorization.

13033101032137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3402, while the sum is 28.

Adding to 13033101032137 its reverse (73123010133031), we get a palindrome (86156111165168).

The spelling of 13033101032137 in words is "thirteen trillion, thirty-three billion, one hundred one million, thirty-two thousand, one hundred thirty-seven".