101111431 has 8 divisors (see below), whose sum is σ = 102136320. Its totient is φ = 100090368.

The previous prime is 101111377. The next prime is 101111449. The reversal of 101111431 is 134111101.

It is a happy number.

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 101111431 - 2¹⁹ = 100587143 is a prime.

It is a super-2 number, since 2×101111431² = 20447042957735522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111531) 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, 108375 + ... + 109303.

It is an arithmetic number, because the mean of its divisors is an integer number (12767040).

Almost surely, 2^101111431 is an apocalyptic number.

101111431 is a deficient number, since it is larger than the sum of its proper divisors (1024889).

101111431 is an equidigital number, since it uses as much as digits as its factorization.

101111431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913.

The product of its (nonzero) digits is 12, while the sum is 13.

The square root of 101111431 is about 10055.4179923064. The cubic root of 101111431 is about 465.8721535857.

Adding to 101111431 its reverse (134111101), we get a palindrome (235222532).

The spelling of 101111431 in words is "one hundred one million, one hundred eleven thousand, four hundred thirty-one".