331013223133093 has 2 divisors, whose sum is σ = 331013223133094. Its totient is φ = 331013223133092.

The previous prime is 331013223133081. The next prime is 331013223133121. The reversal of 331013223133093 is 390331322310133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 271882075389409 + 59131147743684 = 16488847^2 + 7689678^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-331013223133093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331013223133063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165506611566546 + 165506611566547.

It is an arithmetic number, because the mean of its divisors is an integer number (165506611566547).

Almost surely, 2^{331013223133093} is an apocalyptic number.

It is an amenable number.

331013223133093 is a deficient number, since it is larger than the sum of its proper divisors (1).

331013223133093 is an equidigital number, since it uses as much as digits as its factorization.

331013223133093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 78732, while the sum is 37.

The spelling of 331013223133093 in words is "three hundred thirty-one trillion, thirteen billion, two hundred twenty-three million, one hundred thirty-three thousand, ninety-three".