101132123193 has 6 divisors (see below), whose sum is σ = 146079733514. Its totient is φ = 67421415456.

The previous prime is 101132123173. The next prime is 101132123269. The reversal of 101132123193 is 391321231101.

101132123193 is a `hidden beast` number, since 10 + 11 + 321 + 2 + 319 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 82212945984 + 18919177209 = 286728^2 + 137547^2 .

It is not a de Polignac number, because 101132123193 - 2⁵ = 101132123161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101132123153) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5618451280 + ... + 5618451297.

Almost surely, 2^101132123193 is an apocalyptic number.

It is an amenable number.

101132123193 is a deficient number, since it is larger than the sum of its proper divisors (44947610321).

101132123193 is a wasteful number, since it uses less digits than its factorization.

101132123193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11236902583 (or 11236902580 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

Adding to 101132123193 its reverse (391321231101), we get a palindrome (492453354294).

The spelling of 101132123193 in words is "one hundred one billion, one hundred thirty-two million, one hundred twenty-three thousand, one hundred ninety-three".