4000004031013 has 12 divisors (see below), whose sum is σ = 4052934957508. Its totient is φ = 3947745288960.

The previous prime is 4000004030999. The next prime is 4000004031059. The reversal of 4000004031013 is 3101304000004.

It can be written as a sum of positive squares in 6 ways, for example, as 923565206529 + 3076438824484 = 961023^2 + 1753978^2 .

It is a de Polignac number, because none of the positive numbers 2^k-4000004031013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000004031083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3818545 + ... + 4751977.

Almost surely, 2^{4000004031013} is an apocalyptic number.

It is an amenable number.

4000004031013 is a deficient number, since it is larger than the sum of its proper divisors (52930926495).

4000004031013 is an frugal number, since it uses more digits than its factorization.

4000004031013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934152 (or 934063 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 4000004031013 its reverse (3101304000004), we get a palindrome (7101308031017).

The spelling of 4000004031013 in words is "four trillion, four million, thirty-one thousand, thirteen".