10042414313 has 8 divisors (see below), whose sum is σ = 10088144040. Its totient is φ = 9996779520.

The previous prime is 10042414289. The next prime is 10042414331. The reversal of 10042414313 is 31341424001.

It can be written as a sum of positive squares in 4 ways, for example, as 1970649664 + 8071764649 = 44392^2 + 89843^2 .

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 10042414313 - 2¹⁰ = 10042413289 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10042494313) 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, 192773 + ... + 239261.

It is an arithmetic number, because the mean of its divisors is an integer number (1261018005).

Almost surely, 2^10042414313 is an apocalyptic number.

It is an amenable number.

10042414313 is a deficient number, since it is larger than the sum of its proper divisors (45729727).

10042414313 is an equidigital number, since it uses as much as digits as its factorization.

10042414313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47467.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 10042414313 its reverse (31341424001), we get a palindrome (41383838314).

The spelling of 10042414313 in words is "ten billion, forty-two million, four hundred fourteen thousand, three hundred thirteen".