131020313011 has 24 divisors (see below), whose sum is σ = 152925932016. Its totient is φ = 111924671040.

The previous prime is 131020312967. The next prime is 131020313147. The reversal of 131020313011 is 110313020131.

It is not a de Polignac number, because 131020313011 - 2¹⁷ = 131020181939 is a prime.

It is a super-2 number, since 2×131020313011² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131020314011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18938325 + ... + 18945241.

It is an arithmetic number, because the mean of its divisors is an integer number (6371913834).

Almost surely, 2^131020313011 is an apocalyptic number.

131020313011 is a deficient number, since it is larger than the sum of its proper divisors (21905619005).

131020313011 is an equidigital number, since it uses as much as digits as its factorization.

131020313011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8179 (or 8172 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 131020313011 its reverse (110313020131), we get a palindrome (241333333142).

The spelling of 131020313011 in words is "one hundred thirty-one billion, twenty million, three hundred thirteen thousand, eleven".