231312033 has 24 divisors (see below), whose sum is σ = 348215400. Its totient is φ = 147780864.

The previous prime is 231312019. The next prime is 231312043. The reversal of 231312033 is 330213132.

It can be written as a sum of positive squares in 4 ways, for example, as 6671889 + 224640144 = 2583^2 + 14988^2 .

It is not a de Polignac number, because 231312033 - 2⁵ = 231312001 is a prime.

It is a super-2 number, since 2×231312033² = 107010513221186178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 231311997 and 231312015.

It is not an unprimeable number, because it can be changed into a prime (231312043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32523 + ... + 38991.

It is an arithmetic number, because the mean of its divisors is an integer number (14508975).

Almost surely, 2^231312033 is an apocalyptic number.

It is an amenable number.

231312033 is a deficient number, since it is larger than the sum of its proper divisors (116903367).

231312033 is a wasteful number, since it uses less digits than its factorization.

231312033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6641 (or 6638 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 231312033 is about 15208.9458214565. The cubic root of 231312033 is about 613.8553923510.

Adding to 231312033 its reverse (330213132), we get a palindrome (561525165).

The spelling of 231312033 in words is "two hundred thirty-one million, three hundred twelve thousand, thirty-three".