101132130123 has 32 divisors (see below), whose sum is σ = 151345658880. Its totient is φ = 66737865600.

The previous prime is 101132130109. The next prime is 101132130131. The reversal of 101132130123 is 321031231101.

101132130123 is a `hidden beast` number, since 10 + 11 + 321 + 301 + 23 = 666.

It is not a de Polignac number, because 101132130123 - 2⁴ = 101132130107 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101132130096 and 101132130105.

It is not an unprimeable number, because it can be changed into a prime (101132130133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7783090 + ... + 7796072.

It is an arithmetic number, because the mean of its divisors is an integer number (4729551840).

Almost surely, 2^101132130123 is an apocalyptic number.

101132130123 is a deficient number, since it is larger than the sum of its proper divisors (50213528757).

101132130123 is a wasteful number, since it uses less digits than its factorization.

101132130123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15896 (or 15890 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101132130123 its reverse (321031231101), we get a palindrome (422163361224).

The spelling of 101132130123 in words is "one hundred one billion, one hundred thirty-two million, one hundred thirty thousand, one hundred twenty-three".