101500105133 has 12 divisors (see below), whose sum is σ = 118689737472. Its totient is φ = 86544584280.

The previous prime is 101500105117. The next prime is 101500105151. The reversal of 101500105133 is 331501005101.

It is not a de Polignac number, because 101500105133 - 2⁴ = 101500105117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101500105163) 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 in 11 ways as a sum of consecutive naturals, for example, 5413235 + ... + 5431952.

It is an arithmetic number, because the mean of its divisors is an integer number (9890811456).

Almost surely, 2^101500105133 is an apocalyptic number.

It is an amenable number.

101500105133 is a deficient number, since it is larger than the sum of its proper divisors (17189632339).

101500105133 is a wasteful number, since it uses less digits than its factorization.

101500105133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10845392 (or 10845385 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 20.

The spelling of 101500105133 in words is "one hundred one billion, five hundred million, one hundred five thousand, one hundred thirty-three".