10042431013345 has 16 divisors (see below), whose sum is σ = 12120684912000. Its totient is φ = 7987451119488.

The previous prime is 10042431013273. The next prime is 10042431013387. The reversal of 10042431013345 is 54331013424001.

It is a cyclic number.

It is not a de Polignac number, because 10042431013345 - 2¹⁹ = 10042430489057 is a prime.

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 15 ways as a sum of consecutive naturals, for example, 3318196 + ... + 5576314.

It is an arithmetic number, because the mean of its divisors is an integer number (757542807000).

Almost surely, 2^{10042431013345} is an apocalyptic number.

It is an amenable number.

10042431013345 is a deficient number, since it is larger than the sum of its proper divisors (2078253898655).

10042431013345 is a wasteful number, since it uses less digits than its factorization.

10042431013345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2263272.

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 10042431013345 its reverse (54331013424001), we get a palindrome (64373444437346).

The spelling of 10042431013345 in words is "ten trillion, forty-two billion, four hundred thirty-one million, thirteen thousand, three hundred forty-five".