101005545133 has 2 divisors, whose sum is σ = 101005545134. Its totient is φ = 101005545132.

The previous prime is 101005545127. The next prime is 101005545167. The reversal of 101005545133 is 331545500101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82850138569 + 18155406564 = 287837^2 + 134742^2 .

It is a cyclic number.

It is not a de Polignac number, because 101005545133 - 2⁹ = 101005544621 is a prime.

It is a super-2 number, since 2×101005545133² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101005545103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50502772566 + 50502772567.

It is an arithmetic number, because the mean of its divisors is an integer number (50502772567).

Almost surely, 2^101005545133 is an apocalyptic number.

It is an amenable number.

101005545133 is a deficient number, since it is larger than the sum of its proper divisors (1).

101005545133 is an equidigital number, since it uses as much as digits as its factorization.

101005545133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4500, while the sum is 28.

The spelling of 101005545133 in words is "one hundred one billion, five million, five hundred forty-five thousand, one hundred thirty-three".