3183993813 has 32 divisors (see below), whose sum is σ = 5700022272. Its totient is φ = 1526788800.

The previous prime is 3183993811. The next prime is 3183993821.

3183993813 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3183993813 - 2¹ = 3183993811 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3183993811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 527133 + ... + 533138.

It is an arithmetic number, because the mean of its divisors is an integer number (178125696).

Almost surely, 2^3183993813 is an apocalyptic number.

3183993813 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3183993813 is a deficient number, since it is larger than the sum of its proper divisors (2516028459).

3183993813 is a wasteful number, since it uses less digits than its factorization.

3183993813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060305.

The product of its digits is 419904, while the sum is 48.

The square root of 3183993813 is about 56426.8890955367. The cubic root of 3183993813 is about 1471.1515207880.

The spelling of 3183993813 in words is "three billion, one hundred eighty-three million, nine hundred ninety-three thousand, eight hundred thirteen".