233123331 has 72 divisors (see below), whose sum is σ = 400287744. Its totient is φ = 120083040.

The previous prime is 233123327. The next prime is 233123381. The reversal of 233123331 is 133321332.

233123331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 233123331 - 2² = 233123327 is a prime.

It is a super-2 number, since 2×233123331² = 108692974913071122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

Its product of digits (972) is a multiple of the sum of its prime divisors (243).

It is a junction number, because it is equal to n+sod(n) for n = 233123298 and 233123307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233123311) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1220446 + ... + 1220636.

It is an arithmetic number, because the mean of its divisors is an integer number (5559552).

Almost surely, 2^233123331 is an apocalyptic number.

233123331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

233123331 is a deficient number, since it is larger than the sum of its proper divisors (167164413).

233123331 is a wasteful number, since it uses less digits than its factorization.

233123331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 243 counting only the distinct ones).

The product of its digits is 972, while the sum is 21.

The square root of 233123331 is about 15268.3768292507. The cubic root of 233123331 is about 615.4535011857.

Adding to 233123331 its reverse (133321332), we get a palindrome (366444663).

The spelling of 233123331 in words is "two hundred thirty-three million, one hundred twenty-three thousand, three hundred thirty-one".