131020141110131 has 96 divisors (see below), whose sum is σ = 168693514133760. Its totient is φ = 100807117657344.

The previous prime is 131020141110097. The next prime is 131020141110139. The reversal of 131020141110131 is 131011141020131.

It is a de Polignac number, because none of the positive numbers 2^k-131020141110131 is a prime.

It is a super-2 number, since 2×131020141110131² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131020141110139) 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 95 ways as a sum of consecutive naturals, for example, 12282749060 + ... + 12282759726.

It is an arithmetic number, because the mean of its divisors is an integer number (1757224105560).

Almost surely, 2^{131020141110131} is an apocalyptic number.

131020141110131 is a deficient number, since it is larger than the sum of its proper divisors (37673373023629).

131020141110131 is a wasteful number, since it uses less digits than its factorization.

131020141110131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12673 (or 12666 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 131020141110131 its reverse (131011141020131), we get a palindrome (262031282130262).

The spelling of 131020141110131 in words is "one hundred thirty-one trillion, twenty billion, one hundred forty-one million, one hundred ten thousand, one hundred thirty-one".