10031131310441 has 16 divisors (see below), whose sum is σ = 10795812805008. Its totient is φ = 9285865728000.

The previous prime is 10031131310399. The next prime is 10031131310491. The reversal of 10031131310441 is 14401313113001.

It can be written as a sum of positive squares in 8 ways, for example, as 412201236841 + 9618930073600 = 642029^2 + 3101440^2 .

It is a cyclic number.

It is not a de Polignac number, because 10031131310441 - 2¹⁸ = 10031131048297 is a prime.

It is a super-2 number, since 2×10031131310441² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10031131310491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23537141 + ... + 23959533.

It is an arithmetic number, because the mean of its divisors is an integer number (674738300313).

Almost surely, 2^{10031131310441} is an apocalyptic number.

It is an amenable number.

10031131310441 is a deficient number, since it is larger than the sum of its proper divisors (764681494567).

10031131310441 is a wasteful number, since it uses less digits than its factorization.

10031131310441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445372.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 10031131310441 its reverse (14401313113001), we get a palindrome (24432444423442).

The spelling of 10031131310441 in words is "ten trillion, thirty-one billion, one hundred thirty-one million, three hundred ten thousand, four hundred forty-one".