100114131 has 8 divisors (see below), whose sum is σ = 143753680. Its totient is φ = 61608672.

The previous prime is 100114117. The next prime is 100114151. The reversal of 100114131 is 131411001.

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

It is not a de Polignac number, because 100114131 - 2⁵ = 100114099 is a prime.

It is a super-2 number, since 2×100114131² = 20045678451770322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100114151) 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 7 ways as a sum of consecutive naturals, for example, 1283476 + ... + 1283553.

It is an arithmetic number, because the mean of its divisors is an integer number (17969210).

Almost surely, 2^100114131 is an apocalyptic number.

100114131 is a deficient number, since it is larger than the sum of its proper divisors (43639549).

100114131 is a wasteful number, since it uses less digits than its factorization.

100114131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2567045.

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 100114131 is about 10005.7049226929. The cubic root of 100114131 is about 464.3353992836.

Adding to 100114131 its reverse (131411001), we get a palindrome (231525132).

The spelling of 100114131 in words is "one hundred million, one hundred fourteen thousand, one hundred thirty-one".