101014131 has 8 divisors (see below), whose sum is σ = 137226960. Its totient is φ = 66072032.

The previous prime is 101014117. The next prime is 101014157. The reversal of 101014131 is 131410101.

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 101014131 - 2⁷ = 101014003 is a prime.

It is a super-2 number, since 2×101014131² = 20407709323370322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101014031) 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 7 ways as a sum of consecutive naturals, for example, 317496 + ... + 317813.

It is an arithmetic number, because the mean of its divisors is an integer number (17153370).

Almost surely, 2^101014131 is an apocalyptic number.

101014131 is a deficient number, since it is larger than the sum of its proper divisors (36212829).

101014131 is an equidigital number, since it uses as much as digits as its factorization.

101014131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635365.

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

The square root of 101014131 is about 10050.5786400585. The cubic root of 101014131 is about 465.7226686459.

Adding to 101014131 its reverse (131410101), we get a palindrome (232424232).

The spelling of 101014131 in words is "one hundred one million, fourteen thousand, one hundred thirty-one".