101334122433 has 12 divisors (see below), whose sum is σ = 146376777300. Its totient is φ = 67553650656.

The previous prime is 101334122423. The next prime is 101334122437. The reversal of 101334122433 is 334221433101.

It is a happy number.

101334122433 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 3 + 412 + 243 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6923571264 + 94410551169 = 83208^2 + 307263^2 .

It is not a de Polignac number, because 101334122433 - 2²¹ = 101332025281 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101334122397 and 101334122406.

It is not an unprimeable number, because it can be changed into a prime (101334122437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82543 + ... + 457691.

It is an arithmetic number, because the mean of its divisors is an integer number (12198064775).

Almost surely, 2^101334122433 is an apocalyptic number.

It is an amenable number.

101334122433 is a deficient number, since it is larger than the sum of its proper divisors (45042654867).

101334122433 is a wasteful number, since it uses less digits than its factorization.

101334122433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405168 (or 405165 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 101334122433 its reverse (334221433101), we get a palindrome (435555555534).

The spelling of 101334122433 in words is "one hundred one billion, three hundred thirty-four million, one hundred twenty-two thousand, four hundred thirty-three".