3131132333393 has 2 divisors, whose sum is σ = 3131132333394. Its totient is φ = 3131132333392.

The previous prime is 3131132333359. The next prime is 3131132333411. The reversal of 3131132333393 is 3933332311313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1949058911569 + 1182073421824 = 1396087^2 + 1087232^2 .

It is a cyclic number.

It is not a de Polignac number, because 3131132333393 - 2³⁴ = 3113952464209 is a prime.

It is not a weakly prime, because it can be changed into another prime (3131132333323) 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, 1565566166696 + 1565566166697.

It is an arithmetic number, because the mean of its divisors is an integer number (1565566166697).

Almost surely, 2^{3131132333393} is an apocalyptic number.

It is an amenable number.

3131132333393 is a deficient number, since it is larger than the sum of its proper divisors (1).

3131132333393 is an equidigital number, since it uses as much as digits as its factorization.

3131132333393 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 118098, while the sum is 38.

The spelling of 3131132333393 in words is "three trillion, one hundred thirty-one billion, one hundred thirty-two million, three hundred thirty-three thousand, three hundred ninety-three".