131031022324241 has 32 divisors (see below), whose sum is σ = 146223009276960. Its totient is φ = 116583687327744.

The previous prime is 131031022324217. The next prime is 131031022324249. The reversal of 131031022324241 is 142423220130131.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 1104558960400 + 129926463363841 = 1050980^2 + 11398529^2 .

It is not a de Polignac number, because 131031022324241 - 2¹⁰ = 131031022323217 is a prime.

It is a super-2 number, since 2×131031022324241² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131031022324249) 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 31 ways as a sum of consecutive naturals, for example, 534320531 + ... + 534565703.

It is an arithmetic number, because the mean of its divisors is an integer number (4569469039905).

Almost surely, 2^{131031022324241} is an apocalyptic number.

It is an amenable number.

131031022324241 is a deficient number, since it is larger than the sum of its proper divisors (15191986952719).

131031022324241 is a wasteful number, since it uses less digits than its factorization.

131031022324241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247605.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 131031022324241 its reverse (142423220130131), we get a palindrome (273454242454372).

The spelling of 131031022324241 in words is "one hundred thirty-one trillion, thirty-one billion, twenty-two million, three hundred twenty-four thousand, two hundred forty-one".