13132110032033 has 2 divisors, whose sum is σ = 13132110032034. Its totient is φ = 13132110032032.

The previous prime is 13132110032017. The next prime is 13132110032047. The reversal of 13132110032033 is 33023001123131.

13132110032033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9040503468049 + 4091606563984 = 3006743^2 + 2022772^2 .

It is a cyclic number.

It is not a de Polignac number, because 13132110032033 - 2⁴ = 13132110032017 is a prime.

It is a super-2 number, since 2×13132110032033² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13132110032333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6566055016016 + 6566055016017.

It is an arithmetic number, because the mean of its divisors is an integer number (6566055016017).

Almost surely, 2^{13132110032033} is an apocalyptic number.

It is an amenable number.

13132110032033 is a deficient number, since it is larger than the sum of its proper divisors (1).

13132110032033 is an equidigital number, since it uses as much as digits as its factorization.

13132110032033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 13132110032033 its reverse (33023001123131), we get a palindrome (46155111155164).

The spelling of 13132110032033 in words is "thirteen trillion, one hundred thirty-two billion, one hundred ten million, thirty-two thousand, thirty-three".