131022131110201 has 24 divisors (see below), whose sum is σ = 146553154532424. Its totient is φ = 116714572669440.

The previous prime is 131022131110193. The next prime is 131022131110207. The reversal of 131022131110201 is 102011131220131.

It can be written as a sum of positive squares in 4 ways, for example, as 69470574679801 + 61551556430400 = 8334901^2 + 7845480^2 .

It is not a de Polignac number, because 131022131110201 - 2³ = 131022131110193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131022131110207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3549690 + ... + 16572403.

It is an arithmetic number, because the mean of its divisors is an integer number (6106381438851).

Almost surely, 2^{131022131110201} is an apocalyptic number.

It is an amenable number.

131022131110201 is a deficient number, since it is larger than the sum of its proper divisors (15531023422223).

131022131110201 is a wasteful number, since it uses less digits than its factorization.

131022131110201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20123209 (or 20123190 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 131022131110201 its reverse (102011131220131), we get a palindrome (233033262330332).

The spelling of 131022131110201 in words is "one hundred thirty-one trillion, twenty-two billion, one hundred thirty-one million, one hundred ten thousand, two hundred one".