40344131023313 has 24 divisors (see below), whose sum is σ = 45329504440248. Its totient is φ = 35860680640512.

The previous prime is 40344131023289. The next prime is 40344131023321. The reversal of 40344131023313 is 31332013144304.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 22229037293824 + 18115093729489 = 4714768^2 + 4256183^2 .

It is not a de Polignac number, because 40344131023313 - 2²⁴ = 40344114246097 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 40344131023313.

It is not an unprimeable number, because it can be changed into a prime (40344131023373) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32651006 + ... + 33864087.

It is an arithmetic number, because the mean of its divisors is an integer number (1888729351677).

Almost surely, 2^{40344131023313} is an apocalyptic number.

It is an amenable number.

40344131023313 is a deficient number, since it is larger than the sum of its proper divisors (4985373416935).

40344131023313 is a wasteful number, since it uses less digits than its factorization.

40344131023313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66515253 (or 66515240 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 40344131023313 its reverse (31332013144304), we get a palindrome (71676144167617).

The spelling of 40344131023313 in words is "forty trillion, three hundred forty-four billion, one hundred thirty-one million, twenty-three thousand, three hundred thirteen".