233123012302241 has 2 divisors, whose sum is σ = 233123012302242. Its totient is φ = 233123012302240.

The previous prime is 233123012302199. The next prime is 233123012302253. The reversal of 233123012302241 is 142203210321332.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 133544487261025 + 99578525041216 = 11556145^2 + 9978904^2 .

It is a cyclic number.

It is not a de Polignac number, because 233123012302241 - 2¹⁸ = 233123012040097 is a prime.

It is a super-2 number, since 2×233123012302241² (a number of 30 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (233123012302441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116561506151120 + 116561506151121.

It is an arithmetic number, because the mean of its divisors is an integer number (116561506151121).

Almost surely, 2^{233123012302241} is an apocalyptic number.

It is an amenable number.

233123012302241 is a deficient number, since it is larger than the sum of its proper divisors (1).

233123012302241 is an equidigital number, since it uses as much as digits as its factorization.

233123012302241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 233123012302241 its reverse (142203210321332), we get a palindrome (375326222623573).

The spelling of 233123012302241 in words is "two hundred thirty-three trillion, one hundred twenty-three billion, twelve million, three hundred two thousand, two hundred forty-one".