101132131123 has 8 divisors (see below), whose sum is σ = 102673530720. Its totient is φ = 99593981760.

The previous prime is 101132131109. The next prime is 101132131157. The reversal of 101132131123 is 321131231101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101132131123 - 2⁵ = 101132131091 is a prime.

It is a super-2 number, since 2×101132131123² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101132131123.

It is not an unprimeable number, because it can be changed into a prime (101132131223) 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 7 ways as a sum of consecutive naturals, for example, 749818 + ... + 874351.

It is an arithmetic number, because the mean of its divisors is an integer number (12834191340).

Almost surely, 2^101132131123 is an apocalyptic number.

101132131123 is a deficient number, since it is larger than the sum of its proper divisors (1541399597).

101132131123 is an equidigital number, since it uses as much as digits as its factorization.

101132131123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625117.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 101132131123 its reverse (321131231101), we get a palindrome (422263362224).

The spelling of 101132131123 in words is "one hundred one billion, one hundred thirty-two million, one hundred thirty-one thousand, one hundred twenty-three".