10042312013 has 8 divisors (see below), whose sum is σ = 10171108416. Its totient is φ = 9913701600.

The previous prime is 10042312001. The next prime is 10042312031. The reversal of 10042312013 is 31021324001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10042312013 - 2⁴ = 10042311997 is a prime.

It is a super-2 number, since 2×10042312013² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10042311982 and 10042312000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042312073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63848 + ... + 155438.

It is an arithmetic number, because the mean of its divisors is an integer number (1271388552).

Almost surely, 2^10042312013 is an apocalyptic number.

It is an amenable number.

10042312013 is a deficient number, since it is larger than the sum of its proper divisors (128796403).

10042312013 is an equidigital number, since it uses as much as digits as its factorization.

10042312013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92995.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10042312013 its reverse (31021324001), we get a palindrome (41063636014).

The spelling of 10042312013 in words is "ten billion, forty-two million, three hundred twelve thousand, thirteen".