1000100032993 has 2 divisors, whose sum is σ = 1000100032994. Its totient is φ = 1000100032992.

The previous prime is 1000100032991. The next prime is 1000100033021. The reversal of 1000100032993 is 3992300010001.

It is an a-pointer prime, because the next prime (1000100033021) can be obtained adding 1000100032993 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 816442359184 + 183657673809 = 903572^2 + 428553^2 .

It is an emirp because it is prime and its reverse (3992300010001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1000100032993 - 2¹ = 1000100032991 is a prime.

Together with 1000100032991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1000100032991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500050016496 + 500050016497.

It is an arithmetic number, because the mean of its divisors is an integer number (500050016497).

Almost surely, 2^{1000100032993} is an apocalyptic number.

It is an amenable number.

1000100032993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000100032993 is an equidigital number, since it uses as much as digits as its factorization.

1000100032993 is an evil number, because the sum of its binary digits is even.

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

Adding to 1000100032993 its reverse (3992300010001), we get a palindrome (4992400042994).

The spelling of 1000100032993 in words is "one trillion, one hundred million, thirty-two thousand, nine hundred ninety-three".