101116131 has 4 divisors (see below), whose sum is σ = 134821512. Its totient is φ = 67410752.

The previous prime is 101116123. The next prime is 101116133. The reversal of 101116131 is 131611101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 131611101 = 3 ⋅43870367.

It is a cyclic number.

It is not a de Polignac number, because 101116131 - 2³ = 101116123 is a prime.

It is a super-2 number, since 2×101116131² = 20448943896818322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101116131.

It is not an unprimeable number, because it can be changed into a prime (101116133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16852686 + ... + 16852691.

It is an arithmetic number, because the mean of its divisors is an integer number (33705378).

Almost surely, 2^101116131 is an apocalyptic number.

101116131 is a deficient number, since it is larger than the sum of its proper divisors (33705381).

101116131 is an equidigital number, since it uses as much as digits as its factorization.

101116131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33705380.

The product of its (nonzero) digits is 18, while the sum is 15.

The square root of 101116131 is about 10055.6516944453. The cubic root of 101116131 is about 465.8793719097.

Adding to 101116131 its reverse (131611101), we get a palindrome (232727232).

The spelling of 101116131 in words is "one hundred one million, one hundred sixteen thousand, one hundred thirty-one".