13032133010137 has 2 divisors, whose sum is σ = 13032133010138. Its totient is φ = 13032133010136.

The previous prime is 13032133010069. The next prime is 13032133010179. The reversal of 13032133010137 is 73101033123031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8351469991881 + 4680663018256 = 2889891^2 + 2163484^2 .

It is a cyclic number.

It is not a de Polignac number, because 13032133010137 - 2²⁷ = 13031998792409 is a prime.

It is not a weakly prime, because it can be changed into another prime (13032133011137) 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, 6516066505068 + 6516066505069.

It is an arithmetic number, because the mean of its divisors is an integer number (6516066505069).

Almost surely, 2^{13032133010137} is an apocalyptic number.

It is an amenable number.

13032133010137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13032133010137 is an equidigital number, since it uses as much as digits as its factorization.

13032133010137 is an odious number, because the sum of its binary digits is odd.

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

Adding to 13032133010137 its reverse (73101033123031), we get a palindrome (86133166133168).

The spelling of 13032133010137 in words is "thirteen trillion, thirty-two billion, one hundred thirty-three million, ten thousand, one hundred thirty-seven".