101332212001133 has 2 divisors, whose sum is σ = 101332212001134. Its totient is φ = 101332212001132.

The previous prime is 101332212001091. The next prime is 101332212001147. The reversal of 101332212001133 is 331100212233101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98751183393769 + 2581028607364 = 9937363^2 + 1606558^2 .

It is a cyclic number.

It is not a de Polignac number, because 101332212001133 - 2¹⁰ = 101332212000109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101332212001099 and 101332212001108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101332212001193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50666106000566 + 50666106000567.

It is an arithmetic number, because the mean of its divisors is an integer number (50666106000567).

Almost surely, 2^{101332212001133} is an apocalyptic number.

It is an amenable number.

101332212001133 is a deficient number, since it is larger than the sum of its proper divisors (1).

101332212001133 is an equidigital number, since it uses as much as digits as its factorization.

101332212001133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 101332212001133 its reverse (331100212233101), we get a palindrome (432432424234234).

The spelling of 101332212001133 in words is "one hundred one trillion, three hundred thirty-two billion, two hundred twelve million, one thousand, one hundred thirty-three".