10005031355413 has 16 divisors (see below), whose sum is σ = 10296984985344. Its totient is φ = 9714228410880.

The previous prime is 10005031355387. The next prime is 10005031355477. The reversal of 10005031355413 is 31455313050001.

It is a cyclic number.

It is not a de Polignac number, because 10005031355413 - 2⁵ = 10005031355381 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005031355513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43718181 + ... + 43946437.

It is an arithmetic number, because the mean of its divisors is an integer number (643561561584).

Almost surely, 2^{10005031355413} is an apocalyptic number.

It is an amenable number.

10005031355413 is a deficient number, since it is larger than the sum of its proper divisors (291953629931).

10005031355413 is a wasteful number, since it uses less digits than its factorization.

10005031355413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230772.

The product of its (nonzero) digits is 13500, while the sum is 31.

The spelling of 10005031355413 in words is "ten trillion, five billion, thirty-one million, three hundred fifty-five thousand, four hundred thirteen".