101332131022033 has 2 divisors, whose sum is σ = 101332131022034. Its totient is φ = 101332131022032.

The previous prime is 101332131022019. The next prime is 101332131022159. The reversal of 101332131022033 is 330220131233101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98058951710784 + 3273179311249 = 9902472^2 + 1809193^2 .

It is a cyclic number.

It is not a de Polignac number, because 101332131022033 - 2¹⁷ = 101332130890961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101332131021989 and 101332131022007.

It is not a weakly prime, because it can be changed into another prime (101332131022013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50666065511016 + 50666065511017.

It is an arithmetic number, because the mean of its divisors is an integer number (50666065511017).

Almost surely, 2^{101332131022033} is an apocalyptic number.

It is an amenable number.

101332131022033 is a deficient number, since it is larger than the sum of its proper divisors (1).

101332131022033 is an equidigital number, since it uses as much as digits as its factorization.

101332131022033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 101332131022033 its reverse (330220131233101), we get a palindrome (431552262255134).

The spelling of 101332131022033 in words is "one hundred one trillion, three hundred thirty-two billion, one hundred thirty-one million, twenty-two thousand, thirty-three".