10040013520011 has 64 divisors (see below), whose sum is σ = 16097926348800. Its totient is φ = 6165413476992.

The previous prime is 10040013519983. The next prime is 10040013520021. The reversal of 10040013520011 is 11002531004001.

10040013520011 is a `hidden beast` number, since 100 + 40 + 0 + 1 + 3 + 520 + 0 + 1 + 1 = 666.

10040013520011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10040013520011 - 2¹⁰ = 10040013518987 is a prime.

It is a super-3 number, since 3×10040013520011³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10040013520021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6169641 + ... + 7625253.

It is an arithmetic number, because the mean of its divisors is an integer number (251530099200).

Almost surely, 2^{10040013520011} is an apocalyptic number.

10040013520011 is a deficient number, since it is larger than the sum of its proper divisors (6057912828789).

10040013520011 is a wasteful number, since it uses less digits than its factorization.

10040013520011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456057 (or 1456051 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 10040013520011 its reverse (11002531004001), we get a palindrome (21042544524012).

The spelling of 10040013520011 in words is "ten trillion, forty billion, thirteen million, five hundred twenty thousand, eleven".