101311311 has 16 divisors (see below), whose sum is σ = 139018880. Its totient is φ = 65590560.

The previous prime is 101311307. The next prime is 101311321. The reversal of 101311311 is 113113101.

It is not a de Polignac number, because 101311311 - 2² = 101311307 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 (101311321) 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, 21180 + ... + 25518.

It is an arithmetic number, because the mean of its divisors is an integer number (8688680).

Almost surely, 2^101311311 is an apocalyptic number.

101311311 is a deficient number, since it is larger than the sum of its proper divisors (37707569).

101311311 is a wasteful number, since it uses less digits than its factorization.

101311311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4566.

The product of its (nonzero) digits is 9, while the sum is 12.

The square root of 101311311 is about 10065.3520057671. The cubic root of 101311311 is about 466.1789347038.

Adding to 101311311 its reverse (113113101), we get a palindrome (214424412).

The spelling of 101311311 in words is "one hundred one million, three hundred eleven thousand, three hundred eleven".