3131999993 has 2 divisors, whose sum is σ = 3131999994. Its totient is φ = 3131999992.

The previous prime is 3131999929. The next prime is 3132000017. The reversal of 3131999993 is 3999991313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2579420944 + 552579049 = 50788^2 + 23507^2 .

It is an emirp because it is prime and its reverse (3999991313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3131999993 - 2⁶ = 3131999929 is a prime.

It is not a weakly prime, because it can be changed into another prime (3131999293) 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 as a sum of consecutive naturals, namely, 1565999996 + 1565999997.

It is an arithmetic number, because the mean of its divisors is an integer number (1565999997).

Almost surely, 2^3131999993 is an apocalyptic number.

It is an amenable number.

3131999993 is a deficient number, since it is larger than the sum of its proper divisors (1).

3131999993 is an equidigital number, since it uses as much as digits as its factorization.

3131999993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1594323, while the sum is 56.

The square root of 3131999993 is about 55964.2742559930. The cubic root of 3131999993 is about 1463.0996872320.

The spelling of 3131999993 in words is "three billion, one hundred thirty-one million, nine hundred ninety-nine thousand, nine hundred ninety-three".