100003331 has 2 divisors, whose sum is σ = 100003332. Its totient is φ = 100003330.

The previous prime is 100003313. The next prime is 100003349. The reversal of 100003331 is 133300001.

Together with previous prime (100003313) it forms an Ormiston pair, because they use the same digits, order apart.

It is a balanced prime because it is at equal distance from previous prime (100003313) and next prime (100003349).

It is an emirp because it is prime and its reverse (133300001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100003331 - 2¹⁴ = 99986947 is a prime.

It is a super-2 number, since 2×100003331² = 20001332422191122, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100003301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50001665 + 50001666.

It is an arithmetic number, because the mean of its divisors is an integer number (50001666).

Almost surely, 2^100003331 is an apocalyptic number.

100003331 is a deficient number, since it is larger than the sum of its proper divisors (1).

100003331 is an equidigital number, since it uses as much as digits as its factorization.

100003331 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 11.

The square root of 100003331 is about 10000.1665486131. The cubic root of 100003331 is about 464.1640370149.

Adding to 100003331 its reverse (133300001), we get a palindrome (233303332).

It can be divided in two parts, 10000 and 3331, that added together give a palindrome (13331).

The spelling of 100003331 in words is "one hundred million, three thousand, three hundred thirty-one".