13124431041001 has 12 divisors (see below), whose sum is σ = 16165265604948. Its totient is φ = 10587776301312.

The previous prime is 13124431040923. The next prime is 13124431041017. The reversal of 13124431041001 is 10014013442131.

It can be written as a sum of positive squares in 2 ways, for example, as 3920700965776 + 9203730075225 = 1980076^2 + 3033765^2 .

It is not a de Polignac number, because 13124431041001 - 2¹³ = 13124431032809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13124431041031) 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, 7877808916 + ... + 7877810581.

It is an arithmetic number, because the mean of its divisors is an integer number (1347105467079).

Almost surely, 2^{13124431041001} is an apocalyptic number.

It is an amenable number.

13124431041001 is a deficient number, since it is larger than the sum of its proper divisors (3040834563947).

13124431041001 is a wasteful number, since it uses less digits than its factorization.

13124431041001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15755619528 (or 15755619521 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 13124431041001 its reverse (10014013442131), we get a palindrome (23138444483132).

The spelling of 13124431041001 in words is "thirteen trillion, one hundred twenty-four billion, four hundred thirty-one million, forty-one thousand, one".