2042004004313 has 16 divisors (see below), whose sum is σ = 2541474311040. Its totient is φ = 1597498125696.

The previous prime is 2042004004291. The next prime is 2042004004321. The reversal of 2042004004313 is 3134004002402.

It is a cyclic number.

It is not a de Polignac number, because 2042004004313 - 2¹² = 2042004000217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2042004001313) 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, 126057095 + ... + 126073292.

It is an arithmetic number, because the mean of its divisors is an integer number (158842144440).

Almost surely, 2^{2042004004313} is an apocalyptic number.

It is an amenable number.

2042004004313 is a deficient number, since it is larger than the sum of its proper divisors (499470306727).

2042004004313 is a wasteful number, since it uses less digits than its factorization.

2042004004313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252130496.

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 2042004004313 its reverse (3134004002402), we get a palindrome (5176008006715).

The spelling of 2042004004313 in words is "two trillion, forty-two billion, four million, four thousand, three hundred thirteen".