101314441 has 12 divisors (see below), whose sum is σ = 113295280. Its totient is φ = 90331200.

The previous prime is 101314427. The next prime is 101314453. The reversal of 101314441 is 144413101.

It is not a de Polignac number, because 101314441 - 2²⁵ = 67760009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101314481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3735 + ... + 14716.

Almost surely, 2^101314441 is an apocalyptic number.

It is an amenable number.

101314441 is a deficient number, since it is larger than the sum of its proper divisors (11980839).

101314441 is a wasteful number, since it uses less digits than its factorization.

101314441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18504 (or 18487 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 101314441 is about 10065.5074884479. The cubic root of 101314441 is about 466.1837355006.

Adding to 101314441 its reverse (144413101), we get a palindrome (245727542).

The spelling of 101314441 in words is "one hundred one million, three hundred fourteen thousand, four hundred forty-one".