101311414441 has 4 divisors (see below), whose sum is σ = 101347178452. Its totient is φ = 101275650432.

The previous prime is 101311414417. The next prime is 101311414489. The reversal of 101311414441 is 144414113101.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 144414113101 = 337859 ⋅427439.

It can be written as a sum of positive squares in 2 ways, for example, as 55901509225 + 45409905216 = 236435^2 + 213096^2 .

It is a cyclic number.

It is not a de Polignac number, because 101311414441 - 2³⁵ = 66951676073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101311414741) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17877756 + ... + 17883421.

It is an arithmetic number, because the mean of its divisors is an integer number (25336794613).

Almost surely, 2^101311414441 is an apocalyptic number.

It is an amenable number.

101311414441 is a deficient number, since it is larger than the sum of its proper divisors (35764011).

101311414441 is an equidigital number, since it uses as much as digits as its factorization.

101311414441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35764010.

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 101311414441 its reverse (144414113101), we get a palindrome (245725527542).

The spelling of 101311414441 in words is "one hundred one billion, three hundred eleven million, four hundred fourteen thousand, four hundred forty-one".