233123312331 has 144 divisors (see below), whose sum is σ = 444713078880. Its totient is φ = 119630649600.

The previous prime is 233123312293. The next prime is 233123312351. The reversal of 233123312331 is 133213321332.

233123312331 is a `hidden beast` number, since 2 + 3 + 3 + 12 + 3 + 312 + 331 = 666.

It is not a de Polignac number, because 233123312331 - 2¹⁷ = 233123181259 is a prime.

It is a super-2 number, since 2×233123312331² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

233123312331 is a modest number, since divided by 23312331 gives 2331 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 233123312295 and 233123312304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233123312351) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23540481 + ... + 23550381.

It is an arithmetic number, because the mean of its divisors is an integer number (3088285270).

Almost surely, 2^233123312331 is an apocalyptic number.

233123312331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

233123312331 is a deficient number, since it is larger than the sum of its proper divisors (211589766549).

233123312331 is a wasteful number, since it uses less digits than its factorization.

233123312331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10011 (or 9961 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 233123312331 its reverse (133213321332), we get a palindrome (366336633663).

Subtracting from 233123312331 its reverse (133213321332), we obtain a palindrome (99909990999).

The spelling of 233123312331 in words is "two hundred thirty-three billion, one hundred twenty-three million, three hundred twelve thousand, three hundred thirty-one".