101144311311 has 16 divisors (see below), whose sum is σ = 135399511040. Its totient is φ = 67159484640.

The previous prime is 101144311291. The next prime is 101144311321. The reversal of 101144311311 is 113113441101.

It is not a de Polignac number, because 101144311311 - 2⁷ = 101144311183 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101144311321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2802366 + ... + 2838228.

It is an arithmetic number, because the mean of its divisors is an integer number (8462469440).

Almost surely, 2^101144311311 is an apocalyptic number.

101144311311 is a deficient number, since it is larger than the sum of its proper divisors (34255199729).

101144311311 is a wasteful number, since it uses less digits than its factorization.

101144311311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39606.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 101144311311 its reverse (113113441101), we get a palindrome (214257752412).

The spelling of 101144311311 in words is "one hundred one billion, one hundred forty-four million, three hundred eleven thousand, three hundred eleven".