130041140031 has 12 divisors (see below), whose sum is σ = 204913311720. Its totient is φ = 78812812080.

The previous prime is 130041140017. The next prime is 130041140057.

130041140031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 130041140031 - 2¹⁴ = 130041123647 is a prime.

It is a super-2 number, since 2×130041140031² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130041139986 and 130041140013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130041144031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 656773336 + ... + 656773533.

It is an arithmetic number, because the mean of its divisors is an integer number (17076109310).

Almost surely, 2^130041140031 is an apocalyptic number.

130041140031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130041140031 is a deficient number, since it is larger than the sum of its proper divisors (74872171689).

130041140031 is a wasteful number, since it uses less digits than its factorization.

130041140031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313546886 (or 1313546883 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 130041 and 140031, that added together give a palindrome (270072).

The spelling of 130041140031 in words is "one hundred thirty billion, forty-one million, one hundred forty thousand, thirty-one".