101011113131101 has 4 divisors (see below), whose sum is σ = 102011223162204. Its totient is φ = 100011003100000.

The previous prime is 101011113131083. The next prime is 101011113131129. The reversal of 101011113131101 is 101131311110101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 82453119336900 + 18557993794201 = 9080370^2 + 4307899^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011113131101 - 2¹⁷ = 101011113000029 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 (101011113131191) 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, 500055015400 + ... + 500055015601.

It is an arithmetic number, because the mean of its divisors is an integer number (25502805790551).

Almost surely, 2^{101011113131101} is an apocalyptic number.

It is an amenable number.

101011113131101 is a deficient number, since it is larger than the sum of its proper divisors (1000110031103).

101011113131101 is a wasteful number, since it uses less digits than its factorization.

101011113131101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000110031102.

The product of its (nonzero) digits is 9, while the sum is 16.

Adding to 101011113131101 its reverse (101131311110101), we get a palindrome (202142424241202).

The spelling of 101011113131101 in words is "one hundred one trillion, eleven billion, one hundred thirteen million, one hundred thirty-one thousand, one hundred one".