10011916841413 has 16 divisors (see below), whose sum is σ = 10875451520304. Its totient is φ = 9179572080640.

The previous prime is 10011916841401. The next prime is 10011916841471. The reversal of 10011916841413 is 31414861911001.

10011916841413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1932008261089 + 8079908580324 = 1389967^2 + 2842518^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011916841413 - 2⁹ = 10011916840901 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 (10011911841413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10136920 + ... + 11080657.

It is an arithmetic number, because the mean of its divisors is an integer number (679715720019).

Almost surely, 2^{10011916841413} is an apocalyptic number.

It is an amenable number.

10011916841413 is a deficient number, since it is larger than the sum of its proper divisors (863534678891).

10011916841413 is a wasteful number, since it uses less digits than its factorization.

10011916841413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21218312.

The product of its (nonzero) digits is 20736, while the sum is 40.

The spelling of 10011916841413 in words is "ten trillion, eleven billion, nine hundred sixteen million, eight hundred forty-one thousand, four hundred thirteen".