10042131505125 has 16 divisors (see below), whose sum is σ = 16710106825152. Its totient is φ = 5355803469200.

The previous prime is 10042131505121. The next prime is 10042131505127. The reversal of 10042131505125 is 52150513124001.

It is not a de Polignac number, because 10042131505125 - 2² = 10042131505121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10042131505092 and 10042131505101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042131505121) 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, 13389508299 + ... + 13389509048.

It is an arithmetic number, because the mean of its divisors is an integer number (1044381676572).

Almost surely, 2^{10042131505125} is an apocalyptic number.

10042131505125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10042131505125 is a deficient number, since it is larger than the sum of its proper divisors (6667975320027).

10042131505125 is an equidigital number, since it uses as much as digits as its factorization.

10042131505125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26779017365 (or 26779017355 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

Adding to 10042131505125 its reverse (52150513124001), we get a palindrome (62192644629126).

The spelling of 10042131505125 in words is "ten trillion, forty-two billion, one hundred thirty-one million, five hundred five thousand, one hundred twenty-five".