10042042313 has 16 divisors (see below), whose sum is σ = 10498998720. Its totient is φ = 9595195200.

The previous prime is 10042042291. The next prime is 10042042331. The reversal of 10042042313 is 31324024001.

It is not a de Polignac number, because 10042042313 - 2⁶ = 10042042249 is a prime.

It is a super-2 number, since 2×10042042313² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10042042363) 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, 3013058 + ... + 3016388.

It is an arithmetic number, because the mean of its divisors is an integer number (656187420).

Almost surely, 2^10042042313 is an apocalyptic number.

It is an amenable number.

10042042313 is a deficient number, since it is larger than the sum of its proper divisors (456956407).

10042042313 is a wasteful number, since it uses less digits than its factorization.

10042042313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4808.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10042042313 its reverse (31324024001), we get a palindrome (41366066314).

The spelling of 10042042313 in words is "ten billion, forty-two million, forty-two thousand, three hundred thirteen".