10042123013130 has 64 divisors (see below), whose sum is σ = 25955374693248. Its totient is φ = 2471873959680.

The previous prime is 10042123013107. The next prime is 10042123013159. The reversal of 10042123013130 is 3131032124001.

It is a super-2 number, since 2×10042123013130² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10042123013097 and 10042123013106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42042640 + ... + 42280820.

It is an arithmetic number, because the mean of its divisors is an integer number (405552729582).

Almost surely, 2^{10042123013130} is an apocalyptic number.

10042123013130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10042123013130 is an abundant number, since it is smaller than the sum of its proper divisors (15913251680118).

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

10042123013130 is a wasteful number, since it uses less digits than its factorization.

10042123013130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346311.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10042123013130 its reverse (3131032124001), we get a palindrome (13173155137131).

The spelling of 10042123013130 in words is "ten trillion, forty-two billion, one hundred twenty-three million, thirteen thousand, one hundred thirty".