321100993 has 2 divisors, whose sum is σ = 321100994. Its totient is φ = 321100992.

The previous prime is 321100973. The next prime is 321101009. The reversal of 321100993 is 399001123.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 248629824 + 72471169 = 15768^2 + 8513^2 .

It is a cyclic number.

It is not a de Polignac number, because 321100993 - 2¹³ = 321092801 is a prime.

It is not a weakly prime, because it can be changed into another prime (321100903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160550496 + 160550497.

It is an arithmetic number, because the mean of its divisors is an integer number (160550497).

Almost surely, 2^321100993 is an apocalyptic number.

It is an amenable number.

321100993 is a deficient number, since it is larger than the sum of its proper divisors (1).

321100993 is an equidigital number, since it uses as much as digits as its factorization.

321100993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 28.

The square root of 321100993 is about 17919.2910853080. The cubic root of 321100993 is about 684.7739272082.

The spelling of 321100993 in words is "three hundred twenty-one million, one hundred thousand, nine hundred ninety-three".