10042531010118 has 48 divisors (see below), whose sum is σ = 22177561199040. Its totient is φ = 3283344338352.

The previous prime is 10042531010117. The next prime is 10042531010191. The reversal of 10042531010118 is 81101013524001.

10042531010118 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 2 + 531 + 0 + 10 + 118 = 666.

It is a super-3 number, since 3×10042531010118³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10042531010091 and 10042531010100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042531010111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10202496 + ... + 11143427.

It is an arithmetic number, because the mean of its divisors is an integer number (462032524980).

Almost surely, 2^{10042531010118} is an apocalyptic number.

10042531010118 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10042531010118 is an abundant number, since it is smaller than the sum of its proper divisors (12135030188922).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10042531010118 is a wasteful number, since it uses less digits than its factorization.

10042531010118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21346433 (or 21346430 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

Adding to 10042531010118 its reverse (81101013524001), we get a palindrome (91143544534119).

The spelling of 10042531010118 in words is "ten trillion, forty-two billion, five hundred thirty-one million, ten thousand, one hundred eighteen".