101311441 has 16 divisors (see below), whose sum is σ = 130387968. Its totient is φ = 76395600.

The previous prime is 101311433. The next prime is 101311519. The reversal of 101311441 is 144113101.

It is a cyclic number.

It is not a de Polignac number, because 101311441 - 2³ = 101311433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101311411) 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 15 ways as a sum of consecutive naturals, for example, 18835 + ... + 23608.

It is an arithmetic number, because the mean of its divisors is an integer number (8149248).

Almost surely, 2^101311441 is an apocalyptic number.

101311441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101311441 is a deficient number, since it is larger than the sum of its proper divisors (29076527).

101311441 is a wasteful number, since it uses less digits than its factorization.

101311441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42492.

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 101311441 is about 10065.3584635620. The cubic root of 101311441 is about 466.1791340999.

Adding to 101311441 its reverse (144113101), we get a palindrome (245424542).

The spelling of 101311441 in words is "one hundred one million, three hundred eleven thousand, four hundred forty-one".