131011202111101 has 8 divisors (see below), whose sum is σ = 149388339059064. Its totient is φ = 113819686901760.

The previous prime is 131011202111099. The next prime is 131011202111131. The reversal of 131011202111101 is 101111202110131.

It can be written as a sum of positive squares in 4 ways, for example, as 291196219876 + 130720005891225 = 539626^2 + 11433285^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131011202111101 - 2¹ = 131011202111099 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 (131011202111131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 296405434420 + ... + 296405434861.

It is an arithmetic number, because the mean of its divisors is an integer number (18673542382383).

Almost surely, 2^{131011202111101} is an apocalyptic number.

It is an amenable number.

131011202111101 is a deficient number, since it is larger than the sum of its proper divisors (18377136947963).

131011202111101 is a wasteful number, since it uses less digits than its factorization.

131011202111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592810869311.

The product of its (nonzero) digits is 12, while the sum is 16.

Adding to 131011202111101 its reverse (101111202110131), we get a palindrome (232122404221232).

The spelling of 131011202111101 in words is "one hundred thirty-one trillion, eleven billion, two hundred two million, one hundred eleven thousand, one hundred one".