331000001 has 2 divisors, whose sum is σ = 331000002. Its totient is φ = 331000000.

The previous prime is 330999959. The next prime is 331000009. The reversal of 331000001 is 100000133.

It is an a-pointer prime, because the next prime (331000009) can be obtained adding 331000001 to its sum of digits (8).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 322238401 + 8761600 = 17951^2 + 2960^2 .

It is a cyclic number.

It is not a de Polignac number, because 331000001 - 2⁶ = 330999937 is a prime.

It is a super-2 number, since 2×331000001² = 219122001324000002, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (331000009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165500000 + 165500001.

It is an arithmetic number, because the mean of its divisors is an integer number (165500001).

Almost surely, 2^331000001 is an apocalyptic number.

It is an amenable number.

331000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

331000001 is an equidigital number, since it uses as much as digits as its factorization.

331000001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 331000001 is about 18193.4054261427. The cubic root of 331000001 is about 691.7396423575.

Adding to 331000001 its reverse (100000133), we get a palindrome (431000134).

It can be divided in two parts, 33 and 1000001, that multiplied together give a palindrome (33000033).

The spelling of 331000001 in words is "three hundred thirty-one million, one", and thus it is an aban number.