3201123200993 has 2 divisors, whose sum is σ = 3201123200994. Its totient is φ = 3201123200992.

The previous prime is 3201123200963. The next prime is 3201123201013. The reversal of 3201123200993 is 3990023211023.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2614132781584 + 586990419409 = 1616828^2 + 766153^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3201123200993 is a prime.

It is not a weakly prime, because it can be changed into another prime (3201123200963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1600561600496 + 1600561600497.

It is an arithmetic number, because the mean of its divisors is an integer number (1600561600497).

Almost surely, 2^{3201123200993} is an apocalyptic number.

It is an amenable number.

3201123200993 is a deficient number, since it is larger than the sum of its proper divisors (1).

3201123200993 is an equidigital number, since it uses as much as digits as its factorization.

3201123200993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17496, while the sum is 35.

The spelling of 3201123200993 in words is "three trillion, two hundred one billion, one hundred twenty-three million, two hundred thousand, nine hundred ninety-three".