331000101 has 10 divisors (see below), whose sum is σ = 494457062. Its totient is φ = 220666680.

The previous prime is 331000097. The next prime is 331000127. The reversal of 331000101 is 101000133.

It can be written as a sum of positive squares in only one way, i.e., 235469025 + 95531076 = 15345^2 + 9774^2 .

It is not a de Polignac number, because 331000101 - 2² = 331000097 is a prime.

It is a super-2 number, since 2×331000101² = 219122133724020402, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331000151) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2043130 + ... + 2043291.

Almost surely, 2^331000101 is an apocalyptic number.

It is an amenable number.

331000101 is a deficient number, since it is larger than the sum of its proper divisors (163456961).

331000101 is an equidigital number, since it uses as much as digits as its factorization.

331000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4086433 (or 4086424 counting only the distinct ones).

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

The square root of 331000101 is about 18193.4081743911. The cubic root of 331000101 is about 691.7397120191.

Adding to 331000101 its reverse (101000133), we get a palindrome (432000234).

The spelling of 331000101 in words is "three hundred thirty-one million, one hundred one", and thus it is an aban number.