34121330993 has 2 divisors, whose sum is σ = 34121330994. Its totient is φ = 34121330992.

The previous prime is 34121330977. The next prime is 34121331031. The reversal of 34121330993 is 39903312143.

It is an a-pointer prime, because the next prime (34121331031) can be obtained adding 34121330993 to its sum of digits (38).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26350379584 + 7770951409 = 162328^2 + 88153^2 .

It is a cyclic number.

It is not a de Polignac number, because 34121330993 - 2⁴ = 34121330977 is a prime.

It is not a weakly prime, because it can be changed into another prime (34121330923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17060665496 + 17060665497.

It is an arithmetic number, because the mean of its divisors is an integer number (17060665497).

Almost surely, 2^34121330993 is an apocalyptic number.

It is an amenable number.

34121330993 is a deficient number, since it is larger than the sum of its proper divisors (1).

34121330993 is an equidigital number, since it uses as much as digits as its factorization.

34121330993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 52488, while the sum is 38.

The spelling of 34121330993 in words is "thirty-four billion, one hundred twenty-one million, three hundred thirty thousand, nine hundred ninety-three".