331000133 has 2 divisors, whose sum is σ = 331000134. Its totient is φ = 331000132.

The previous prime is 331000127. The next prime is 331000151.

331000133 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 330985249 + 14884 = 18193^2 + 122^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 331000133 - 2⁶ = 331000069 is a prime.

It is a super-2 number, since 2×331000133² = 219122176092035378, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331000193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165500066 + 165500067.

It is an arithmetic number, because the mean of its divisors is an integer number (165500067).

Almost surely, 2^331000133 is an apocalyptic number.

It is an amenable number.

331000133 is a deficient number, since it is larger than the sum of its proper divisors (1).

331000133 is an equidigital number, since it uses as much as digits as its factorization.

331000133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 14.

The square root of 331000133 is about 18193.4090538305. The cubic root of 331000133 is about 691.7397343108.

It can be divided in two parts, 331000 and 133, that added together give a palindrome (331133).

The spelling of 331000133 in words is "three hundred thirty-one million, one hundred thirty-three", and thus it is an aban number.