10013413340131 has 8 divisors (see below), whose sum is σ = 10449471884544. Its totient is φ = 9577412524680.

The previous prime is 10013413340123. The next prime is 10013413340201. The reversal of 10013413340131 is 13104331431001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10013413340131 - 2³ = 10013413340123 is a prime.

It is a super-2 number, since 2×10013413340131² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10013413340096 and 10013413340105.

It is not an unprimeable number, because it can be changed into a prime (10013413340831) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14077591 + ... + 14771776.

It is an arithmetic number, because the mean of its divisors is an integer number (1306183985568).

Almost surely, 2^{10013413340131} is an apocalyptic number.

10013413340131 is a deficient number, since it is larger than the sum of its proper divisors (436058544413).

10013413340131 is a wasteful number, since it uses less digits than its factorization.

10013413340131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28864481.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 10013413340131 its reverse (13104331431001), we get a palindrome (23117744771132).

The spelling of 10013413340131 in words is "ten trillion, thirteen billion, four hundred thirteen million, three hundred forty thousand, one hundred thirty-one".