10131243381344 has 96 divisors (see below), whose sum is σ = 20945346508800. Its totient is φ = 4818101713920.

The previous prime is 10131243381319. The next prime is 10131243381353. The reversal of 10131243381344 is 44318334213101.

It is a junction number, because it is equal to n+sod(n) for n = 10131243381298 and 10131243381307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14400527 + ... + 15087665.

It is an arithmetic number, because the mean of its divisors is an integer number (218180692800).

Almost surely, 2^{10131243381344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10131243381344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10472673254400).

10131243381344 is an abundant number, since it is smaller than the sum of its proper divisors (10814103127456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10131243381344 is a wasteful number, since it uses less digits than its factorization.

10131243381344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687436 (or 687428 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

Adding to 10131243381344 its reverse (44318334213101), we get a palindrome (54449577594445).

The spelling of 10131243381344 in words is "ten trillion, one hundred thirty-one billion, two hundred forty-three million, three hundred eighty-one thousand, three hundred forty-four".