101311141113101 has 4 divisors (see below), whose sum is σ = 101311472580192. Its totient is φ = 101310809646012.

The previous prime is 101311141113043. The next prime is 101311141113113.

It is a happy number.

101311141113101 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101311141113101 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 (101311141113131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 165274655 + ... + 165886508.

It is an arithmetic number, because the mean of its divisors is an integer number (25327868145048).

Almost surely, 2^{101311141113101} is an apocalyptic number.

It is an amenable number.

101311141113101 is a deficient number, since it is larger than the sum of its proper divisors (331467091).

101311141113101 is an equidigital number, since it uses as much as digits as its factorization.

101311141113101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331467090.

The product of its (nonzero) digits is 36, while the sum is 20.

The spelling of 101311141113101 in words is "one hundred one trillion, three hundred eleven billion, one hundred forty-one million, one hundred thirteen thousand, one hundred one".